All Stories

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