All Stories

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