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