All Stories

  1. Several identities and relations related to q-analogues of Pochhammer k-symbol with applications to Fuss–Catalan–Qi numbers
  2. Determinantal Expressions, Identities, Concavity, Maclaurin Power Series Expansions for van der Pol Numbers, Bernoulli Numbers, and Cotangent
  3. A Sufficient and Necessary Condition for the Power-Exponential Function 1+1xαx to Be a Bernstein Function and Related nth Derivatives
  4. Several integral inequalities of the Hermite-Hadamard type for s-(β, F)-convex functions
  5. Hermite–Hadamard type inequalities for harmonic-arithmetic extended $ (s_1, m_1) $-$ (s_2, m_2) $ coordinated convex functions
  6. Hermite–Hadamard’s Integral Inequalities of (α,s)-GA- and (α,s,m)-GA-Convex Functions
  7. Several Double Inequalities for Integer Powers of the Sinc and Sinhc Functions with Applications to the Neuman–Sándor Mean and the First Seiffert Mean
  8. Bounds for the Neuman–Sándor Mean in Terms of the Arithmetic and Contra-Harmonic Means
  9. Some new integral inequalities of the Simpson type for MT-convex functions
  10. 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
  11. Partial Bell Polynomials, Falling and Rising Factorials, Stirling Numbers, and Combinatorial Identities
  12. Generalizations of Hermite–Hadamard Type Integral Inequalities for Convex Functions
  13. Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios
  14. Direct, Inverse, and Equivalence Theorems for Weighted Szász—Durrmeyer—Bézier Operators in Orlicz Spaces
  15. Coordinated MT- s ...
  16. Some properties of the Hermite polynomials
  17. A ratio of finitely many gamma functions and its properties with applications
  18. Series expansions of powers of arcsine, closed forms for special values of Bell polynomials, and series representations of generalized logsine functions
  19. 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
  20. Determinantal Formulas and Recurrent Relations for Bi-Periodic Fibonacci and Lucas Polynomials
  21. Inequalities of Hermite-Hadamard type for extended harmonically (s,m)-convex functions
  22. Necessary and sufficient conditions on the Schur convexity of a bivariate mean
  23. Refinements of Young’s Integral Inequality via Fundamental Inequalities and Mean Value Theorems for Derivatives1
  24. Several Explicit and Recurrent Formulas for Determinants of Tridiagonal Matrices via Generalized Continued Fractions
  25. Retraction Note to: A Determinantal Expression for the Fibonacci Polynomials in Terms of a Tridiagonal Determinant
  26. From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions
  27. Some properties and an application of multivariate exponential polynomials
  28. Correction: Monotonicity and inequalities related to complete elliptic integrals of the second kind
  29. Monotonicity and inequalities related to complete elliptic integrals of the second kind
  30. Several explicit and recursive formulas for generalized Motzkin numbers
  31. Some logarithmically completely monotonic functions and inequalities for multinomial coefficients and multivariate beta functions
  32. On GT-convexity and related integral inequalities
  33. Relations among Bell polynomials, central factorial numbers, and central Bell polynomials
  34. Generalizations and applications of Young’s integral inequality by higher order derivatives
  35. Equivalent theorem of approximation by linear combination of weighted Baskakov–Kantorovich operators in Orlicz spaces
  36. A Determinantal Expression for the Fibonacci Polynomials in Terms of a Tridiagonal Determinant
  37. Arithmetic Means for a Class of Functions and the Modified Bessel Functions of the First Kind
  38. Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind
  39. The inverse of a triangular matrix and several identities of the Catalan numbers
  40. On integral inequalities of Hermite-Hadamard type for coordinated r-mean convex functions
  41. Shannon Type Inequalities for Kapur’s Entropy
  42. Simplification of Coefficients in Differential Equations Associated with Higher Order Frobenius-Euler Numbers
  43. On the sum of the Lah numbers and zeros of the Kummer confluent hypergeometric function
  44. Integral Representations of the Large and Little Schröder Numbers
  45. Some identities for a sequence of unnamed polynomials connected with the Bell polynomials
  46. A diagonal recurrence relation for the Stirling numbers of the first kind
  47. Lévy-Khintchine representation of Toader-Qi mean
  48. Some identities related to Eulerian polynomials and involving the Stirling numbers
  49. A representation for derangement numbers in terms of a tridiagonal determinant
  50. A closed form for the Stirling polynomials in terms of the Stirling numbers
  51. An explicit formula for derivative polynomials of the tangent function
  52. Some Inequalities of the Hermite-Hadamard Type for Harmonically Quasi-Convex Functions
  53. The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function
  54. Some properties of the divided difference of psi and polygamma functions
  55. Generalizations of the Bell Numbers and Polynomials and Their Properties
  56. Some Identities for a Sequence of Unnamed Polynomials Connected with the Bell Polynomials
  57. Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations
  58. Simplifying Coefficients in Differential Equations Associated with Higher Order Bernoulli Numbers of the Second Kind
  59. Simplification of Coefficients in Differential Equations Associated with Higher Order Frobenius–Euler Numbers
  60. Integral Representations of the Catalan Numbers and Their Applications
  61. Some Identities Relating to Eulerian Polynomials and Involving Stirling Numbers
  62. Simplifying differential equations concerning degenerate Bernoulli and Euler numbers
  63. Some explicit and recursive formulas of the large and little Schröder numbers
  64. Explicit formulas and recurrence relations for higher order Eulerian polynomials
  65. Some properties of central Delannoy numbers
  66. Explicit Formulas for Special Values of the Bell Polynomials of the Second Kind and for the Euler Numbers and Polynomials
  67. Closed forms for derangement numbers in terms of the Hessenberg determinants
  68. Some properties of a sequence arising from geometric probability for pairs of hyperplanes intersecting with a convex body
  69. Notes on a Family of Inhomogeneous Linear Ordinary Differential Equations
  70. Identities of the Chebyshev Polynomials, the Inverse of a Triangular Matrix, and Identities of the Catalan Numbers
  71. Closed Expressions of the Fibonacci Polynomials in Terms of Tridiagonal Determinants
  72. A criterion to justify a holomorphic function
  73. A Closed Form for the Stirling Polynomials in Terms of the Stirling Numbers
  74. Explicit and recursive formulas, integral representations, and properties of the large Schröder numbers
  75. An explicit formula for Bernoulli polynomials in terms of $\boldsymbol r$-Stirling numbers of the second kind
  76. Some properties of the Schröder numbers
  77. Some Properties of a Solution to a Family of Inhomogeneous Linear Ordinary Differential Equations
  78. Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials
  79. A Determinantal Expression and a Recurrence Relation for the Euler Polynomials
  80. The reciprocal of the weighted geometric mean is a Stieltjes function
  81. A recovery of two determinantal representations for derangement numbers
  82. The reciprocal of the geometric mean of many positive numbers is a Stieltjes transform
  83. Logarithmically complete monotonicity of Catalan-Qi function related to Catalan numbers
  84. SOME INEQUALITIES AND ABSOLUTE MONOTONICITY FOR MODIFIED BESSEL FUNCTIONS OF THE FIRST KIND
  85. Integral representations and complete monotonicity of remainders of the Binet and Stirling formulas for the gamma function
  86. Some Generalizations of Integral Inequalities of Hermite-Hadamard Type for n-Time Differentiable Functions
  87. Complete monotonicity of divided differences of the di- and tri-gamma functions with applications
  88. Logarithmically complete monotonicity of a function related to the Catalan-Qi function
  89. An inequality involving the gamma and digamma functions
  90. REMARKS ON COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE GAMMA FUNCTION
  91. The additivity of polygamma functions
  92. Sharp Inequalities for Polygamma Functions
  93. A class of completely monotonic functions involving the gamma and polygamma functions
  94. Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind
  95. On the degree of the weighted geometric mean as a complete Bernstein function
  96. Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers
  97. Sharp inequalities for the psi function and harmonic numbers
  98. Some identities and an explicit formula for Bernoulli and Stirling numbers
  99. Some properties of functions related to certain classes of completely monotonic functions and logarithmically completely monotonic functions
  100. Complete Monotonicity of Functions Connected with the Exponential Function and Derivatives
  101. A Class of Logarithmically Completely Monotonic Functions and Their Applications
  102. Monotonicity results and inequalities for the inverse hyperbolic sine function
  103. Logarithmically completely monotonic functions and applications
  104. A completely monotonic function involving the tri- and tetra-gamma functions
  105. On proofs for monotonicity of a function involving the psi and exponential functions
  106. Complete monotonicity of a function involving the divided difference of digamma functions
  107. Sharpening and generalizations of Shafer-Fink's double inequality for the arc sine function
  108. Some properties of completely monotonic sequences and related interpolation
  109. Complete monotonicity of two functions involving the tri-and tetra-gamma functions
  110. Monotonicity of functions connected with the gamma function and the volume of the unit ball
  111. Refinements of lower bounds for polygamma functions
  112. A completely monotonic function involving the tri-gamma function and with degree one
  113. Monotonicity and logarithmic convexity relating to the volume of the unit ball
  114. A refinement of a double inequality for the gamma function
  115. Sharpening and generalizations of Shafer's inequality for the arc sine function
  116. Complete monotonicity of a function involving the ratio of gamma functions and applications
  117. Logarithmic convexity of Gini means
  118. A simple proof of Oppenheim's double inequality relating to the cosine and sine functions
  119. Sharp bounds for harmonic numbers
  120. An extension of an inequality for ratios of gamma functions
  121. A class of completely monotonic functions involving divided differences of the polygamma functions
  122. An alternative proof of Elezović-Giordano-Pečarić's theorem
  123. The function (bx−ax)/x: Logarithmic convexity and applications to extended mean values
  124. Some bounds for the complete elliptic integrals of the first and second kinds
  125. Some uniqueness results for the non-trivially complete monotonicity of a class of functions involving the polygamma and related functions
  126. Some logarithmically completely monotonic functions related to the gamma function
  127. A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE GAMMA FUNCTION
  128. Some properties of extended remainder of binet’s first formula for logarithm of gamma function
  129. Complete monotonicity of some functions involving polygamma functions
  130. Two new proofs of the complete monotonicity of a function involving the psi function
  131. Necessary and sufficient conditions for functions involving the tri- and tetra-gamma functions to be completely monotonic
  132. Completely monotonic functions involving divided differences of the di- and tri-gamma functions and some applications
  133. Properties and applications of a function involving exponential functions
  134. A simple proof of logarithmic convexity of extended mean values
  135. Refinements, Generalizations, and Applications of Jordan's Inequality and Related Problems
  136. Sharpening and Generalizations of Shafer's Inequality for the Arc Tangent Function
  137. Wendel’s and Gautschi’s inequalities: Refinements, extensions, and a class of logarithmically completely monotonic functions
  138. A class of logarithmically completely monotonic functions
  139. Monotonicity and logarithmic concavity of two functions involving exponential function
  140. Darboux’s formula with integral remainder of functions with two independent variables
  141. Alternative proofs for inequalities of some trigonometric functions
  142. A class of logarithmically completely monotonic functions and the best bounds in the second Kershaw's double inequality
  143. A class ofk-log-convex functions and their applications to some special functions
  144. A function involving gamma function and having logarithmically absolute convexity
  145. Some completely monotonic functions involving the gamma and polygamma functions
  146. Monotonicity of sequences involving convex function and sequence
  147. Monotonicity of sequences involving geometric means of positive sequences with monotonicity and logarithmical convexity
  148. The best bounds in Gautschi-Kershaw inequalities
  149. Some completely monotonic functions involving polygamma functions and an application
  150. Notes on double inequalities of Mathieu's series
  151. Some notes on a functional equation
  152. A lower bound for ratio of power means
  153. AN INEQUALITY BETWEEN RATIO OF THE EXTENDED LOGARITHMIC MEANS AND RATIO OF THE EXPONENTIAL MEANS
  154. INEQUALITIES AND MONOTONICITY FOR THE RATIO OF GAMMA FUNCTIONS
  155. On new proofs of Wilker's inequalities involving trigonometric functions
  156. Generalizations of Bernoulli numbers and polynomials
  157. Estimates of an integral in terms of the $L^p$-norm of the $(n+1)$st derivative of its integrand
  158. On Steffensen pairs
  159. Generalization of Bernoulli polynomials
  160. An inductive proof for an identity involving (n k) and the partial sums of some series
  161. Inequalities for Generalized Weighted Mean Values of Convex Function