All Stories

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