All Stories

  1. Several integral inequalities for strongly $(\alpha, m)$-convex functions
  2. Several new Huygens type inequalities
  3. An integral representation of the Gauss hypergeometric functions and its applications
  4. Several New Integral Inequalities of Hermite–Hadamard Type for Extended <em>ϕ<sub>h-s</sub></em>-Convex Functions
  5. Elegant proofs for properties of normalized remainders of Maclaurin power series expansion of exponential function
  6. On a class of extended convex functions and their integral inequalities
  7. Some integral inequalities of Hermite--Hadamard type for $(\beta,F)$-log-convex functions
  8. Toeplitz Operators with Radial Symbols on Weighted Pluriharmonic Bergman Spaces over Reinhardt Domains
  9. Preface to the Special Issue “Advances in Nonlinear Analysis, Analytic Number Theory, and Mathematical Inequalities”
  10. Monotonicity results of ratio between two normalized remainders of Maclaurin series expansion for square of tangent function
  11. Bivariate homogeneous functions of two parameters: Monotonicity, convexity, comparisons, and functional inequalities
  12. Closed-form formulas of two Gauss hypergeometric functions of specific parameters
  13. Decreasing property of ratio of two logarithmic expressions involving tangent function
  14. Monotonicity and positivity of several functions involving ratios and products of polygamma functions
  15. Series and Connections Among Central Factorial Numbers, Stirling Numbers, Inverse of Vandermonde Matrix, and Normalized Remainders of Maclaurin Series Expansions †
  16. Some properties of the Catalan numbers
  17. Some properties of normalized remainders of the Maclaurin expansion for a function originating from an integral representation of the reciprocal of the gamma function
  18. Decreasing ratio between two normalized remainders of Maclaurin series expansion of exponential function
  19. CORRECTIONS TO ERRORS IN THE PAPER "HADAMARD-TYPE INEQUALITIES FOR <i>s</i>-CONVEX FUNCTIONS I" AND NEW INTEGRAL INEQUALITIES OF <i>s</i>-CONVEX FUNCTIONS IN THE SECOND SENSE
  20. Absolute monotonicity of four functions involving the second kind of complete elliptic integrals
  21. Logarithmically absolute monotonicity of the ratio between normalized remainders for a function in an integral representation of the reciprocal of the gamma function
  22. Several Derivative Formulas of Two Exponential Functions and Real Power of Hyperbolic Secant Function with a Generalization of a Formula for Specific Partial Bell Polynomials
  23. Absolute Monotonicity of Normalized Tail of Power Series Expansion of Exponential Function
  24. Power Series Expansions of Real Powers of Inverse Cosine and Sine Functions, Closed-Form Formulas of Partial Bell Polynomials at Specific Arguments, and Series Representations of Real Powers of Circular Constant
  25. Some Properties on Normalized Tails of Maclaurin Power Series Expansion of Exponential Function
  26. Розвинення функції $\ln(1+\operatorname{e}^x)$ у степеневий ряд через ета-функцію Діріхле та числа Стірлінга другого роду
  27. Monotonicity Results of Ratios Between Normalized Tails of Maclaurin Power Series Expansions of Sine and Cosine
  28. A New Closed-Form Formula of the Gauss Hypergeometric Function at Specific Arguments
  29. Some Properties of Normalized Tails of Maclaurin Power Series Expansions of Sine and Cosine
  30. Integral inequalities of Ostrowski type for two kinds of s-logarithmically convex functions
  31. Reformulations and Generalizations of Hoffman’s and Genčev’s Combinatorial Identities
  32. On normalized tails of series expansion of generating function of Bernoulli numbers
  33. Toeplitz Operators on Harmonic Fock Spaces with Radial Symbols
  34. A logarithmically completely monotonic function and several inequalities for q-multinominal coefficients and q-multivariate beta functions
  35. On Bounds for Norms of Sine and Cosine Along a Circle on the Complex Plane
  36. Power series expansion, decreasing property, and concavity related to logarithm of normalized tail of power series expansion of cosine
  37. Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function
  38. On convexity and power series expansion for logarithm of normalized tail of power series expansion for square of tangent
  39. Necessary and sufficient conditions for a mixed bivariate mean of three parameters to be Schur m-power convex
  40. Refinements and applications of several Hermite-Hadamard type inequalities
  41. Necessary and sufficient conditions of Schur m-power convexity of a new mixed mean
  42. Power series expansion and decreasing property related to normalized remainders of power series expansion of sine
  43. On signs of certain Toeplitz-Hessenberg determinants whose elements involve Bernoulli numbers
  44. Several Functions Originating from Fisher–Rao Geometry of Dirichlet Distributions and Involving Polygamma Functions
  45. Approximation by multivariate Baskakov–Durrmeyer operators in Orlicz spaces
  46. Two Forms for Maclaurin Power Series Expansion of Logarithmic Expression Involving Tangent Function
  47. A Series Expansion of a Logarithmic Expression and a Decreasing Property of the Ratio of Two Logarithmic Expressions Containing Sine
  48. Determinantal Expressions, Identities, Concavity, Maclaurin Power Series Expansions for van der Pol Numbers, Bernoulli Numbers, and Cotangent
  49. A Sufficient and Necessary Condition for the Power-Exponential Function 1+1xαx to Be a Bernstein Function and Related nth Derivatives
  50. Negativity, zeros and extreme values of several polynomials
  51. Some combinatorial identities containing central binomial coefficients or Catalan numbers*
  52. The negativity of a polynomial of degree forty-three
  53. A Brief Survey and an Analytic Generalization of the Catalan Numbers and Their Integral Representations
  54. Schur m-power convexity for general geometric Bonferroni mean of multiple parameters and comparison inequalities between several means
  55. Closed-Form Formulas for the nth Derivative of the Power-Exponential Function xx
  56. Integral representations and properties of several finite sums containing central binomial coefficients
  57. Alternative Proofs for Monotonicity of Some Functions Related to Sectional Curvature of Fisher–Rao Manifold of Beta Distributions
  58. NOTES ON SOME SIMPSON TYPE INTEGRAL INEQUALITIES FOR s-GEOMETRICALLY CONVEX FUNCTIONS WITH APPLICATIONS
  59. Increasing property and logarithmic convexity of functions involving Dirichlet lambda function
  60. Closed-form formulas, determinantal expressions, recursive relations, power series, and special values of several functions used in Clark–İsmail’s two conjectures
  61. A series expansion of a logarithmic expression and a decreasing property of the ratio of two logarithmic expressions containing cosine
  62. Three identities and a determinantal formula for differences between Bernoulli polynomials and numbers
  63. Series expansions for powers of sinc function and closed-form expressions for specific partial bell polynomials
  64. A further generalization of the Catalan numbers and its explicit formula and integral representation
  65. Specific values of partial bell polynomials and series expansions for real powers of functions and for composite functions
  66. Increasing property and logarithmic convexity concerning Dirichlet beta function, Euler numbers, and their ratios
  67. Several recursive and closed-form formulas for some specific values of partial Bell polynomials
  68. Degenerate Fubini-Type Polynomials and Numbers, Degenerate Apostol–Bernoulli Polynomials and Numbers, and Degenerate Apostol–Euler Polynomials and Numbers
  69. Decreasing property and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function
  70. Necessary and Sufficient Conditions for a Bivariate Mean of Three Parameters to Be the Schur $m$-Power Convex
  71. Several recurrence relations and identities on generalized derangement numbers
  72. Notes on several integral inequalities of Hermite–Hadamard type for s-geometrically convex functions
  73. Necessary and Sufficient Conditions for a Difference Defined by Four Derivatives of a Function Containing Trigamma Function to be Completely Monotonic
  74. Complete Monotonicity for a New Ratio of Finitely Many Gamma Functions
  75. Decreasing properties of two ratios defined by three and four polygamma functions
  76. On Degenerate Array Type Polynomials
  77. Bounds for completely monotonic degrees of remainders in asymptotic expansions of the digamma function
  78. MacLaurin’s series expansions for positive integer powers of inverse (hyperbolic) sine and tangent functions, closed-form formula of specific partial Bell polynomials, and series representation of generalized logsine function
  79. Partial Bell Polynomials, Falling and Rising Factorials, Stirling Numbers, and Combinatorial Identities
  80. Increasing property and logarithmic convexity of two functions involving Dirichlet eta function
  81. Logarithmically complete monotonicity of a matrix-parametrized analogue of the multinomial distribution
  82. Refinements of two determinantal inequalities for positive semidefinite matrices
  83. Taylor’s series expansions for real powers of two functions containing squares of inverse cosine function, closed-form formula for specific partial Bell polynomials, and series representations for real powers of Pi
  84. Two identities and closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of the second kind
  85. A further generalization of the Catalan numbers and its explicit formula and integral representation
  86. Discussions on two integral inequalities of Hermite–Hadamard type for convex functions
  87. A determinantal expression and a recursive relation of the Delannoy numbers
  88. Explicit formulas for partial Bell polynomials, Maclaurin's series expansions of real powers of inverse (hyperbolic) cosine and sine, and series representations of powers of Pi
  89. Maclaurin's series expansions of real powers of inverse (hyperbolic) cosine and sine functions with applications
  90. Lower Bound of Sectional Curvature of Fisher–Rao Manifold of Beta Distributions and Complete Monotonicity of Functions Involving Polygamma Functions
  91. Maclaurin's series expansions of real powers of inverse (hyperbolic) cosine functions and applications
  92. Two Explicit Formulas for Degenerate Peters Numbers and Polynomials
  93. A closed-form expression of a remarkable sequence of polynomials originating from a family of entire functions connecting the Bessel and Lambert functions
  94. Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios
  95. Several closed and determinantal forms for convolved Fibonacci numbers
  96. Several Determinantal Expressions of Generalized Tribonacci Polynomials and Sequences
  97. Several identities containing central binomial coefficients and derived from series expansions of powers of the arcsine function
  98. Two determinantal inequalities for positive semidefinite matrices
  99. Explicit, Determinantal, and Recurrent Formulas of Generalized Eulerian Polynomials
  100. Some properties of the Hermite polynomials
  101. A ratio of finitely many gamma functions and its properties with applications
  102. Simplifying coefficients in differential equations related to generating functions of reverse Bessel and partially degenerate Bell polynomials
  103. Necessary and sufficient conditions for complete monotonicity and monotonicity of two functions defined by two derivatives of a function involving trigamma function
  104. Series expansions of powers of arcsine, closed forms for special values of Bell polynomials, and series representations of generalized logsine functions
  105. Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers
  106. Determinantal inequalities of Hua-Marcus-Zhang type for quaternion matrices
  107. Bounds for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function
  108. Determinantal Expressions and Recursive Relations for the Bessel Zeta Function and for a Sequence Originating from a Series Expansion of the Power of Modified Bessel Function of the First Kind
  109. Determinantal Formulas and Recurrent Relations for Bi-Periodic Fibonacci and Lucas Polynomials
  110. Integral inequalities of Hermite-Hadamard type for GA-$ F $-convex functions
  111. Necessary and sufficient conditions for a difference constituted by four derivatives of a function involving trigamma function to be completely monotonic
  112. Computation of several Hessenberg determinants
  113. Monotonicity and sharp inequalities related to complete (p,q)-elliptic integrals of the first kind
  114. Refinements of Young’s Integral Inequality via Fundamental Inequalities and Mean Value Theorems for Derivatives1
  115. Several Explicit and Recurrent Formulas for Determinants of Tridiagonal Matrices via Generalized Continued Fractions
  116. Complete monotonicity of a difference constituted by four derivatives of a function involving trigamma function
  117. Complete monotonicity of a difference defined by four derivatives of a function containing trigamma function
  118. Lower Bound of Sectional Curvature of Manifold of Beta Distributions and Complete Monotonicity of Functions Involving Polygamma Functions
  119. Monotonicity and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function
  120. Necessary and sufficient conditions for two functions defined by two derivatives of a function involving trigamma function to be completely monotonic or monotonic
  121. Monotonicity of a ratio involving trigamma and tetragamma functions
  122. Geometric interpretations and reversed versions of Young's integral inequality
  123. Some properties of several functions involving polygamma functions and originating from the sectional curvature of the beta manifold
  124. Retraction Note to: A Determinantal Expression for the Fibonacci Polynomials in Terms of a Tridiagonal Determinant
  125. A further generalization of the Catalan numbers and its explicit formula and integral representation
  126. A further generalization of the Catalan numbers and its explicit formula and integral representation
  127. Determinantal forms and recursive relations of the Delannoy two-functional sequence
  128. A further generalization of the Catalan numbers and its explicit formula and integral representation
  129. Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions
  130. From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions
  131. Inequalities for generalized eigenvalues of quaternion matrices
  132. Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions
  133. Several determinantal expressions of generalized Tribonacci polynomials and sequences
  134. Several closed and determinantal forms for convolved Fibonacci numbers
  135. Computation of several Hessenberg determinants
  136. Three closed forms for convolved Fibonacci numbers
  137. Determinantal forms and recursive relations of the Delannoy two-functional sequence
  138. Special values of the Bell polynomials of the second kind for some sequences and functions
  139. Monotonicity, convexity and inequalities related to complete $(p,q,r)$-elliptic integrals and generalized trigonometric functions
  140. Closed formulas and identities on the Bell polynomials and falling factorials
  141. Monotonicity properties for a ratio of finite many gamma functions
  142. Determinantal formulas and recurrent relations for bi-periodic Fibonacci and Lucas polynomials
  143. Some properties and an application of multivariate exponential polynomials
  144. On Bounds of the Sine and Cosine along a Circle on the Complex Plane
  145. On HT-convexity and Hadamard-type inequalities
  146. Completely monotonic degree of a function involving trigamma and tetragamma functions
  147. Correction: Monotonicity and inequalities related to complete elliptic integrals of the second kind
  148. Monotonicity and inequalities related to complete elliptic integrals of the second kind
  149. Several explicit and recursive formulas for generalized Motzkin numbers
  150. Some inequalities and an application of exponential polynomials
  151. Some logarithmically completely monotonic functions and inequalities for multinomial coefficients and multivariate beta functions
  152. Approximation by multivariate Baskakov–Kantorovich operators in Orlicz spaces
  153. Closed formulas for special bell polynomials by Stirling numbers and associate Stirling numbers
  154. SEVERAL NEW INTEGRAL INEQUALITIES OF THE SIMPSON TYPE FOR(<i>α, S, M</i> )-CONVEX FUNCTIONS
  155. Some inequalities of the Grüss type for conformable $${\varvec{k}}$$k-fractional integral operators
  156. On bounds of the sine and cosine along straight lines on the complex plane
  157. Relations among Bell polynomials, central factorial numbers, and central Bell polynomials
  158. Simplifying coefficients in differential equations for generating function of Catalan numbers
  159. Generalizations and applications of Young’s integral inequality by higher order derivatives
  160. Equivalent theorem of approximation by linear combination of weighted Baskakov–Kantorovich operators in Orlicz spaces
  161. Monotonicity properties and inequalities related to generalized Grötzsch ring functions
  162. Generalizations of Several Inequalities Related to Multivariate Geometric Means
  163. A Closed Formula for the Horadam Polynomials in Terms of a Tridiagonal Determinant
  164. Some fractional differential equations involving generalized hypergeometric functions
  165. A Determinantal Expression for the Fibonacci Polynomials in Terms of a Tridiagonal Determinant
  166. Generalized fractional integral inequalities of Hermite–Hadamard type for ( α , m ...
  167. A Unified Generalization of the Catalan, Fuss, and Fuss–Catalan Numbers
  168. Completely monotonic degrees for a difference between the logarithmic and psi functions
  169. Determinantal expressions and recurrence relations for Fubini and Eulerian polynomials
  170. Some inequalities of the Turan type for confluent hypergeometric functions of the second kind
  171. On complete monotonicity for several classes of functions related to ratios of gamma functions
  172. Arithmetic Means for a Class of Functions and the Modified Bessel Functions of the First Kind
  173. Simplifying coefficients in a family of nonlinear ordinary differential equations
  174. Explicit Expressions Related to Degenerate Cauchy Numbers and Their Generating Function
  175. Convexity and inequalities related to extended beta and confluent hypergeometric functions
  176. Generalized k-fractional conformable integrals and related inequalities
  177. Notes on two kinds of special values for the Bell polynomials of the second kind
  178. Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind
  179. Some integral transforms of the generalized k-Mittag-Leffler function
  180. The inverse of a triangular matrix and several identities of the Catalan numbers
  181. Notes on explicit and inversion formulas for the Chebyshev polynomials of the first two kinds
  182. Shannon Type Inequalities for Kapur’s Entropy
  183. On Approximation by Linear Combinations of Modified Summation Operators of Integral Type in Orlicz Spaces
  184. Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric Group
  185. Simplification of Coefficients in Differential Equations Associated with Higher Order Frobenius-Euler Numbers
  186. Alternative proofs of some formulas for two tridiagonal determinants
  187. Some Properties of the Fuss–Catalan Numbers
  188. On integral inequalities of the Hermite–Hadamard type for co-ordinated (α, m1)-(s, m2)-convex functions
  189. Some Inequalities of Čebyšev Type for Conformable k-Fractional Integral Operators
  190. A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers
  191. Integral Inequalities of Hermite–Hadamard Type for Extended s-Convex Functions and Applications
  192. On Bounds of the Sine and Cosine Along Straight Lines on the Complex Plane
  193. On the sum of the Lah numbers and zeros of the Kummer confluent hypergeometric function
  194. Some inequalities for generalized eigenvalues of perturbation problems on Hermitian matrices
  195. Several series identities involving the Catalan numbers
  196. Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function
  197. An Improper Integral, the Beta Function, the Wallis Ratio, and the Catalan Numbers
  198. Some Properties and Generalizations of the Catalan, Fuss, and Fuss-Catalan Numbers
  199. On multivariate logarithmic polynomials and their properties
  200. Simple forms for coefficients in two families of ordinary differential equations
  201. Integral Representations of the Large and Little Schröder Numbers
  202. Some identities for a sequence of unnamed polynomials connected with the Bell polynomials
  203. Integral representations for multivariate logarithmic polynomials
  204. Some new inequalities of the Grüss type for conformable fractional integrals
  205. A diagonal recurrence relation for the Stirling numbers of the first kind
  206. An integral representation, complete monotonicity, and inequalities of the Catalan numbers
  207. Lévy-Khintchine representation of Toader-Qi mean
  208. Some identities related to Eulerian polynomials and involving the Stirling numbers
  209. A representation for derangement numbers in terms of a tridiagonal determinant
  210. {Some integral inequalities of Hermite--Hadamard type for $s$-geometrically convex functions
  211. A closed form for the Stirling polynomials in terms of the Stirling numbers
  212. An explicit formula for derivative polynomials of the tangent function
  213. The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function
  214. Some properties of the divided difference of psi and polygamma functions
  215. On an Analogue of Euler Polynomials and Related to Extended Fermionic p-Adic Integrals on $$ {\mathbb{Z}}_{p} $$ ...
  216. Some Inequalities of the Bell Polynomials
  217. Some Inequalities of the Bell Polynomials
  218. Some inequalities for the Bell numbers
  219. Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations
  220. Integral Representations of the Catalan Numbers and Their Applications
  221. Integral representations of bivariate complex geometric mean and their applications
  222. Simplifying differential equations concerning degenerate Bernoulli and Euler numbers
  223. Alternative proofs for summation formulas of some trigonometric series
  224. Some explicit and recursive formulas of the large and little Schröder numbers
  225. Explicit formulas and recurrence relations for higher order Eulerian polynomials
  226. Some properties of central Delannoy numbers
  227. Explicit Formulas for Special Values of the Bell Polynomials of the Second Kind and for the Euler Numbers and Polynomials
  228. Closed forms for derangement numbers in terms of the Hessenberg determinants
  229. Integral inequalities of the Hermite--Hadamard type for (alpha,m)-GA-convex functions
  230. Expansions of the exponential and the logarithm of power series and applications
  231. Some properties of a sequence arising from geometric probability for pairs of hyperplanes intersecting with a convex body
  232. Notes on a Family of Inhomogeneous Linear Ordinary Differential Equations
  233. Derivative polynomials of a function related to the Apostol-Euler and Frobenius-Euler numbers
  234. Two Nice Determinantal Expressions and A Recurrence Relation for the Apostol--Bernoulli Polynomials
  235. Identities of the Chebyshev Polynomials, the Inverse of a Triangular Matrix, and Identities of the Catalan Numbers
  236. A criterion to justify a holomorphic function
  237. Several Explicit and Recursive Formulas for the Generalized Motzkin Numbers
  238. Simplifying Two Families of Nonlinear Ordinary DifferentialEquations
  239. Lévy–Khintchine Representation of Toader–Qi Mean
  240. A Closed Form for the Stirling Polynomials in Terms of the Stirling Numbers
  241. Several Series Identities Involving the Catalan Numbers
  242. Certain integrals involving the generalized hypergeometric function and the Laguerre polynomials
  243. Two explicit formulas for the generalized Motzkin numbers
  244. Hermite--Hadamard type inequalities for (alpha,m)-HA and strongly (alpha,m)-HA convex functions
  245. Integral inequalities of extended Simpson type for (alpha,m)-varepsilon-convex functions
  246. Bounding the gamma function in terms of the trigonometric and exponential functions
  247. SEVERAL FORMULAS FOR SPECIAL VALUES OF THE BELL POLYNOMIALS OF THE SECOND KIND AND APPLICATIONS
  248. Parametric integrals, the Catalan numbers, and the beta function
  249. Some new inequalities of the Hermite���Hadamard type for extended ((s1,m1)-(s2,m2))-convex functions on co-ordinates
  250. An explicit formula for Bernoulli polynomials in terms of $\boldsymbol r$-Stirling numbers of the second kind
  251. Some properties of the Schröder numbers
  252. Some Properties of a Solution to a Family of Inhomogeneous Linear Ordinary Differential Equations
  253. Some Properties of the Hermite Polynomials and Their Squares and Generating Functions
  254. Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials
  255. A double inequality for an integral mean in terms of the exponential and logarithmic means
  256. An Improper Integral with a Square Root
  257. Viewing Some Ordinary Differential Equations from the Angle of Derivative Polynomials
  258. A Determinantal Expression and a Recurrence Relation for the Euler Polynomials
  259. Closed Forms for Derangement Numbers in Terms of the Hessenberg Determinants
  260. Some Integral Transforms of the Generalized k-Mittag-Leffler Function
  261. The reciprocal of the weighted geometric mean is a Stieltjes function
  262. A recovery of two determinantal representations for derangement numbers
  263. A determinantal representation for derangement numbers
  264. Some properties of the Catalan–Qi function related to the Catalan numbers
  265. Some new and explicit identities related with the Appell-type degenerate q-Changhee polynomials
  266. The reciprocal of the geometric mean of many positive numbers is a Stieltjes transform
  267. Some Properties of a Function Originating from Geometric Probability for Pairs of Hyperplanes Intersecting with a Convex Body
  268. Properties and inequalities for the (h1, h2)- and (h1, h2, m)-GA-convex functions
  269. Three Identities of the Catalan-Qi Numbers
  270. Logarithmically complete monotonicity of Catalan-Qi function related to Catalan numbers
  271. SOME INEQUALITIES AND ABSOLUTE MONOTONICITY FOR MODIFIED BESSEL FUNCTIONS OF THE FIRST KIND
  272. Hermite–Hadamard type inequalities for n-times differentiable and geometrically quasi-convex functions
  273. On the Appell type λ -Changhee polynomials
  274. Integral representations and complete monotonicity of remainders of the Binet and Stirling formulas for the gamma function
  275. The harmonic and geometric means are Bernstein functions
  276. Two closed forms for the Bernoulli polynomials
  277. Integral Inequalities of Hermite–Hadamard Type for m-AH Convex Functions
  278. Bounds for the Ratio of Two Gamma Functions: from Gautschi’s and Kershaw’s Inequalities to Complete Monotonicity
  279. On some Hermite–Hadamard type inequalities for (s, QC)-convex functions
  280. A double inequality for the combination of Toader mean and the arithmetic mean in terms of the contraharmonic mean
  281. Complete monotonicity of divided differences of the di- and tri-gamma functions with applications
  282. Logarithmically complete monotonicity of a function related to the Catalan-Qi function
  283. An inequality involving the gamma and digamma functions
  284. Diagonal recurrence relations, inequalities, and monotonicity related to the Stirling numbers of the second kind
  285. Integral representations and properties of some functions involving the logarithmic function
  286. Schur-convexity of the Catalan–Qi function
  287. Sharp inequalities for bounding Seiffert mean in terms of the arithmetic, centroidal, and contra-harmonic means
  288. Several identities involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers
  289. SOME NEW INTEGRAL INEQUALITIES OF HERMITE{HADAMARD TYPE FOR (α, m; P)-CONVEX FUNCTIONS ON CO-ORDINATES
  290. INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR ((α;m); log)-CONVEX FUNCTIONS ON CO-ORDINATES
  291. An Explicit Formula for the Bell Numbers in Terms of the Lah and Stirling Numbers
  292. Some inequalities for the trigamma function in terms of the digamma function
  293. Hermite-Hadamard Type Inequalities for the Product of $(\alpha, m)$-Convex Function
  294. Derivatives of tangent function and tangent numbers
  295. Some new Hermite���Hadamard type inequalities for differentiable co-ordinated convex functions
  296. REMARKS ON COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE GAMMA FUNCTION
  297. Some new Hermite--Hadamard type inequalities for geometrically quasi-convex functions on co-ordinates
  298. A logarithmically completely monotonic function involving the gamma function and originating from the Catalan numbers and function
  299. Hermite–Hadamard-Type Integral Inequalities for Functions Whose First Derivatives are Convex
  300. An integral representation of the Catalan numbers
  301. Several closed expressions for the Euler numbers
  302. An integral representation, some inequalities, and complete monotonicity of the Bernoulli numbers
  303. Logarithmically complete monotonicity of a power-exponential function involving the logarithmic and psi functions
  304. Explicit expressions for a family of the Bell polynomials and applications
  305. Integral inequalities of Hermite���Hadamard type for logarithmically h-preinvex functions
  306. Some best approximation formulas and inequalities for the Wallis ratio
  307. Symmetry identities of q-Bernoulli polynomials of the second kind
  308. Asymptotic Formulas and Inequalities for the Gamma Function in Terms of the Tri-Gamma Function
  309. Sharp bounds for the Neuman-Sándor mean in terms of the power and contraharmonic means
  310. Pólya type integral inequalities: Origin, variants, proofs, refinements, generalizations, equivalences, and applications
  311. On Schur m-power convexity for ratios of some means
  312. A new formula for the Bernoulli numbers of the second kind in terms of the Stirling numbers of the first kind
  313. Properties of modified Bessel functions and completely monotonic degrees of differences between exponential and trigamma functions
  314. The additivity of polygamma functions
  315. A note on three variable symmetric identities for modified q-Bernoulli polynomials arising from bosonic p-adic integral on Zp
  316. A note on three variable symmetric identities for q-Euler polynomials arising from fermionic p-adic integral on Zp
  317. Sharp Inequalities for Polygamma Functions
  318. Some inequalities of Hermite-Hadamard type for m-harmonic-arithmetically convex functions
  319. A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS
  320. A class of completely monotonic functions involving the gamma and polygamma functions
  321. Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind
  322. Hermite-Hadamard type inequalities for geometricallyr-convex functions
  323. Inequalities of Hermite–Hadamard type involving an s-convex function with applications
  324. An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind
  325. A double inequality for bounding Toader mean by the centroidal mean
  326. Integral representations and complete monotonicity related to the remainder of Burnside’s formula for the gamma function
  327. Some inequalities of Qi type for double integrals
  328. Complete monotonicity of a function involving the gamma function and applications
  329. Sharp bounds for Neuman-Sándor’s mean in terms of the root-mean-square
  330. Complete monotonicity of functions involving the $q$-trigamma and $q$-tetragamma functions
  331. An explicit formula for Bell numbers in terms of Stirling numbers and hypergeometric functions
  332. Some Integral Inequalities of Hermite-Hadamard Type for Functions Whose n-times Derivatives are (α,m)-Convex
  333. On the degree of the weighted geometric mean as a complete Bernstein function
  334. Refinements and Sharpening of some Huygens and Wilker Type Inequalities
  335. Some Hermite–Hadamard type inequalities for geometrically quasi-convex functions
  336. Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers
  337. Some Inequalities for the Generalized Trigonometric and Hyperbolic Functions
  338. Complete monotonicity, completely monotonic degree, integral representations, and an inequality related to the exponential, trigamma, and modified Bessel functions
  339. Absolute monotonicity of a function involving the exponential function
  340. Complete monotonicity of a function involving the p-psi function and alternative proofs
  341. COMPLETE MONOTONICITY OF A DIFFERENCE BETWEEN THE EXPONENTIAL AND TRIGAMMA FUNCTIONS
  342. Hermite–Hadamard type inequalities for extended s-convex functions on the co-ordinates in a rectangle
  343. Some new inequalities of Simpson type for strongly $$\varvec{s}$$ s -convex functions
  344. Some inequalities of Hermite-Hadamard type for $r$-$\varphi$-preinvex functions
  345. Hermite-Hadamard Type Inequalities for (m, h1, h2)-Convex Functions Via Riemann-Liouville Fractional Integrals
  346. Some inequalities for ( h , m ) -convex functions
  347. Integral inequalities of Hermite-Hadamard type for functions whose derivatives are α-preinvex
  348. Hermite--Hadamard type inequalities for geometric-arithmetically $s$-convex functions
  349. Hermite-Hadamard type inequalities for n-times differentiable and preinvex functions
  350. Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers
  351. Sharp inequalities for the psi function and harmonic numbers
  352. Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind
  353. Some identities and an explicit formula for Bernoulli and Stirling numbers
  354. The Function (b x − a x )∕x: Ratio’s Properties
  355. Lévy-Khintchine representation of the geometric mean of many positive numbers and applications
  356. Schur-harmonic convexity for differences of some special means in two variables
  357. The best bounds for Toader mean in terms of the centroidal and arithmetic means
  358. A unified proof of several inequalities and some new inequalities involving Neuman-S\'andor mean
  359. An integral representation for the weighted geometric mean and its applications
  360. Bounds for the ratio of two gamma functions: from Wendel’s asymptotic relation to Elezović-Giordano-Pečarić’s theorem
  361. Monotonicity results and inequalities for the inverse hyperbolic sine function
  362. Integral inequalities of Hermite-Hadamard type for functions whose third derivatives are convex
  363. Convexity of the generalized sine function and the generalized hyperbolic sine function
  364. Integral representations and properties of Stirling numbers of the first kind
  365. Some Integral Inequalities on Time Scales
  366. Lévy–Khintchine Representations of the Weighted Geometric Mean and the Logarithmic Mean
  367. A completely monotonic function involving the tri- and tetra-gamma functions
  368. Hermite–Hadamard type integral inequalities for geometric-arithmeticallys-convex functions
  369. Some inequalities for (s1;m1)-(s2;m2)-convex functions on the co-ordinates
  370. On proofs for monotonicity of a function involving the psi and exponential functions
  371. Complete Monotonicity of a Difference Between the Exponential and Trigamma Functions and Properties Related to a Modified Bessel Function
  372. Some exact constants for the approximation of the quantity in the Wallis’ formula
  373. Complete monotonicity of a function involving the divided difference of digamma functions
  374. COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE DIVIDED DIFFERENCE OF PSI FUNCTIONS
  375. Some Hermite-Hadamard type inequalities for functions whose n-th derivatives are (α, m)-convex
  376. Inequalities of Hermite-Hadamard type for convex functions which are n-times differentiable
  377. Hermite-Hadamard type inequalities for the m- and (α, m)-logarithmically convex functions
  378. Some Hermite–Hadamard type inequalities for log-h-convex functions
  379. Some integral inequalities of Simpson type for GA-ɛ-convex functions
  380. Sharpening and generalizations of Shafer-Fink's double inequality for the arc sine function
  381. Limit formulas for ratios between derivatives of the gamma and digamma functions at their singularities
  382. Convergence, monotonicity, and inequalities of sequences involving continued powers
  383. Some Inequalities for Multiple Integrals on then-Dimensional Ellipsoid, Spherical Shell, and Ball
  384. Some Hermite-Hadamard type inequalities for n-time differentiable "Equation missing" -convex functions
  385. Schur-harmonic convexity for differences of some means
  386. Some new integral inequalities
  387. Some properties of a class of functions related to completely monotonic functions
  388. Complete monotonicity of two functions involving the tri-and tetra-gamma functions
  389. Monotonicity of functions connected with the gamma function and the volume of the unit ball
  390. Refinements of lower bounds for polygamma functions
  391. A class of logarithmically completely monotonic functions related to the gamma function with applications
  392. Some new inequalities of Hermite–Hadamard type forn-time differentiable functions which arem-convex
  393. Generalizations of Hermite–Hadamard inequality ton-time differentiable functions which ares-convex in the second sense
  394. A completely monotonic function involving the tri-gamma function and with degree one
  395. Monotonicity and logarithmic convexity relating to the volume of the unit ball
  396. A refinement of a double inequality for the gamma function
  397. Sharpening and generalizations of Shafer's inequality for the arc sine function
  398. Hermite–Hadamard type inequalities for the m- and (α, m)-geometrically convex functions
  399. Bounds for the ratio of two gamma functions---From Wendel's and related inequalities to logarithmically completely monotonic functions
  400. Complete monotonicity of a function involving the ratio of gamma functions and applications
  401. Some Inequalities of Hermite-Hadamard Type for Functions Whose 3rd Derivatives Are <i>P</i>-Convex
  402. On Integral Inequalities of Hermite‐Hadamard Type for s‐Geometrically Convex Functions
  403. Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means
  404. Some sharp inequalities involving Seiffert and other means and their concise proofs
  405. Logarithmic convexity of Gini means
  406. A simple proof of Oppenheim's double inequality relating to the cosine and sine functions
  407. Several integral inequalities on time scales
  408. Sharp bounds for harmonic numbers
  409. An extension of an inequality for ratios of gamma functions
  410. A class of completely monotonic functions involving divided differences of the polygamma functions
  411. An alternative proof of Elezović-Giordano-Pečarić's theorem
  412. The function (bx−ax)/x: Logarithmic convexity and applications to extended mean values
  413. Some bounds for the complete elliptic integrals of the first and second kinds
  414. Some uniqueness results for the non-trivially complete monotonicity of a class of functions involving the polygamma and related functions
  415. Some logarithmically completely monotonic functions related to the gamma function
  416. A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE GAMMA FUNCTION
  417. Some properties of extended remainder of binet’s first formula for logarithm of gamma function
  418. Generalizations of some classical inequalities via a special functional property
  419. Complete monotonicity of some functions involving polygamma functions
  420. Some properties of functions related to the gamma and psi functions
  421. Two new proofs of the complete monotonicity of a function involving the psi function
  422. Necessary and sufficient conditions for functions involving the tri- and tetra-gamma functions to be completely monotonic
  423. Bounds for the Ratio of Two Gamma Functions
  424. Completely monotonic functions involving divided differences of the di- and tri-gamma functions and some applications
  425. Properties and applications of a function involving exponential functions
  426. A class of logarithmically completely monotonic functions associated with the gamma function
  427. A class of logarithmically completely monotonic functions and application to the best bounds in the second Gautschi–Kershaw’s inequality
  428. Alternative proofs for monotonic and logarithmically convex properties of one-parameter mean values
  429. A simple proof of logarithmic convexity of extended mean values
  430. Several q-integral inequalities
  431. Refinements, Generalizations, and Applications of Jordan's Inequality and Related Problems
  432. Sharpening and Generalizations of Shafer's Inequality for the Arc Tangent Function
  433. Wendel’s and Gautschi’s inequalities: Refinements, extensions, and a class of logarithmically completely monotonic functions
  434. A new upper bound in the second Kershaw's double inequality and its generalizations
  435. A generalization of van der Corput’s inequality
  436. Monotonicity and logarithmic concavity of two functions involving exponential function
  437. Darboux’s formula with integral remainder of functions with two independent variables
  438. A new lower bound in the second Kershaw's double inequality
  439. Alternative proofs for inequalities of some trigonometric functions
  440. Supplements to a class of logarithmically completely monotonic functions associated with the gamma function
  441. FOUR LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS INVOLVING GAMMA FUNCTION
  442. A class of logarithmically completely monotonic functions and the best bounds in the second Kershaw's double inequality
  443. A class ofk-log-convex functions and their applications to some special functions
  444. A general refinement of Jordan's inequality and a refinement of L. Yang's inequality
  445. SOME COMPLETELY MONOTONIC FUNCTIONS INVOLVING THE GAMMA AND POLYGAMMA FUNCTIONS
  446. Refinements, extensions and generalizations of the second Kershaw's double inequality
  447. A new refinement of Young's inequality
  448. New Generalizations of an Integral Inequality
  449. Some integral inequalities on time scales
  450. A function involving gamma function and having logarithmically absolute convexity
  451. Necessary and sufficient conditions for two classes of functions to be logarithmically completely monotonic
  452. Sums of series of Rogers dilogarithm functions
  453. A class of logarithmically completely monotonic functions and the best bounds in the first Kershaw's double inequality
  454. Three classes of logarithmically completely monotonic functions involving gamma and psi functions
  455. Monotonicity result for generalized logarithmic means
  456. Logarithmically completely monotonic functions concerning gamma and digamma functions
  457. A completely monotonic function involving the divided difference of the psi function and an equivalent inequality involving sums
  458. LOGARITHMIC CONVEXITY OF THE ONE-PARAMETER MEAN VALUES
  459. Complete monotonicity of the logarithmic mean
  460. Some New Bounds for Mathieu's Series
  461. On a new generalization of Martins' inequality
  462. Monotonicity of ratio between the generalized logarithmic means
  463. A mononotonicity result of a function involving the gamma function
  464. More notes on a functional equation
  465. Logarithmically completely monotonic functions relating to the gamma function
  466. Two logarithmically completely monotonic functions connected with gamma function
  467. 90.41 Introducing the Dirac delta function
  468. Monotonicity Properties and Inequalities of Functions Related to Means
  469. Note on Alzer's inequality
  470. Some completely monotonic functions involving the gamma and polygamma functions
  471. Monotonicity of sequences involving convex function and sequence
  472. Monotonicity of sequences involving geometric means of positive sequences with monotonicity and logarithmical convexity
  473. The best bounds in Gautschi-Kershaw inequalities
  474. An extension and a refinement of van der Corput′s inequality
  475. An alternative note on the Schur-convexity of the extended mean values
  476. Some completely monotonic functions involving polygamma functions and an application
  477. A Note on Schur-Convexity of Extended Mean Values
  478. Generalization of an inequality of Alzer for negative powers
  479. NOTES ON THE SCHUR-CONVEXITY OF THE EXTENDED MEAN VALUES
  480. Some New Iyengar Type Inequalities
  481. Extension of an Inequality of H. Alzer for Negative Powers
  482. The best bounds in Wallis' inequality
  483. Generalization and Refinements of Hermite-Hadamard's Inequality
  484. Notes on double inequalities of Mathieu′s series
  485. Note on weighted Carleman-type inequality
  486. A complete monotonicity property of the gamma function
  487. Some notes on a functional equation
  488. A lower bound for ratio of power means
  489. Inequalities of some trigonometric functions
  490. AN INEQUALITY BETWEEN RATIO OF THE EXTENDED LOGARITHMIC MEANS AND RATIO OF THE EXPONENTIAL MEANS
  491. INEQUALITIES AND MONOTONICITY FOR THE RATIO OF GAMMA FUNCTIONS
  492. On a Generalization of Martins' Inequality
  493. On new proofs of Wilker's inequalities involving trigonometric functions
  494. Generalizations of Bernoulli numbers and polynomials
  495. Inequalities involving the sequence ∛(a + ∛(a+...+ ∛(a)))
  496. Generalizations of Euler numbers and polynomials
  497. Some new Steffensen pairs
  498. Estimates of an integral in terms of the $L^p$-norm of the $(n+1)$st derivative of its integrand
  499. Monotonicity of sequences involving convex and concave functions
  500. Inequalities and monotonicity of the ratio of the geometric means of a positive arithmetic sequence with unit difference
  501. On Steffensen pairs
  502. Logarithmic convexity of extended mean values
  503. Generalization of Bernoulli polynomials
  504. An inductive proof for an identity involving (n k) and the partial sums of some series
  505. Monotonicity results and inequalities for the gamma and incomplete gamma functions
  506. Evaluation of a class of definite integrals
  507. Inequalities for Generalized Weighted Mean Values of Convex Function
  508. Inequalities for a Weighted Multiple Integral
  509. New proofs of weighted power mean inequalities and monotonicity for generalized weighted mean values
  510. On a new generalization of Alzer's inequality
  511. Generalization of H. Alzer's Inequality
  512. Note on monotonicity of generalized weighted mean values
  513. Inequalities for the Incomplete Gamma and Related Functions
  514. Inequalities for a multiple integral
  515. Recursion Formulae for $\sum^n_{m=1} m^k$
  516. Some Inequalities of the Incomplete Gamma and Related Functions
  517. A new proof of monotonicity for extended mean values
  518. Some inequalities constructed by Tchebysheff's integral inequality
  519. The function $(b^x-a^x)/x$: inequalities and properties
  520. Refinements and Extensions of an Inequality, III
  521. Generalized weighted mean values with two parameters
  522. A Simple Proof of Monotonicity for Extended Mean Values
  523. Refinements and Extensions of an Inequality, II
  524. 80.22 Inequalities for an Integral