On some inequalities for the gamma and psi functions
type: Item
instance of: scholarly article
title: On some inequalities for the gamma and psi functions
zbMATH Open document ID: 0854.33001
DOI: 10.1090/S0025-5718-97-00807-7
author: Horst Alzer
published in: Mathematics of Computation
publication date: 1997-01-09T00:00:00Z
Mathematics Subject Classification ID: 33B15
Mathematics Subject Classification ID: 26D07
zbMATH DE Number: 963302
zbMATH Keywords: gamma function
zbMATH Keywords: psi function
zbMATH Keywords: complete monotonicity
zbMATH Keywords: inequalities
zbMATH Keywords: star-shaped functions
zbMATH Keywords: super-additive functions
zbMATH Keywords: infinite divisibility
zbMATH Keywords: Laplace transform
MaRDI profile type: Publication
cites work: Some Gamma Function Inequalities
cites work: Inequalities for Zero-Balanced Hypergeometric Functions
cites work: Q4101884
cites work: Q3229718
cites work: Q3289472
cites work: Note on a paper by Uppuluri
cites work: Some function classes related to the class of convex functions
cites work: On Gamma Function Inequalities
cites work: Leonhard Euler's Integral: A Historical Profile of the Gamma Function: In Memoriam: Milton Abramowitz
cites work: Q5599628
cites work: GENERALIZATIONS AND APPLICATIONS OF CAUCHY-SCHWARZ INEQUALITIES
cites work: The gamma function inequalities of Gurland and Gautschi
cites work: Q3329742
cites work: Q3241504
cites work: Q5519177
cites work: Kolmogorov-Landau inequalities for monotone functions
cites work: Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function
cites work: A Harmonic Mean Inequality for the Gamma Function
cites work: Some Mean Value Inequalities for the Gamma Function
cites work: Q5726174
cites work: A Stochastic Approach to the Gamma Function
cites work: Q3264337
cites work: Completely monotonic functions associated with the gamma function and its q-analogues
cites work: Q5627024
cites work: Some Extensions of W. Gautschi's Inequalities for the Gamma Function
cites work: Q4297533
cites work: A probabilistic interpretation of complete monotonicity
cites work: Further Inequalities for the Gamma Function
cites work: Inequalities for ultraspherical polynomials and the gamma function
cites work: Mittelwertungleichungen für Lösungen gewisser Differenzengleichungen. (Mean value inequalities for solutions of certain difference equations)
cites work: Q5659876
cites work: Q5798194
cites work: Stolarsky's Inequality with General Weights
cites work: Inequalities: theory of majorization and its applications
cites work: Some Inequalities involving (r!)1/r
cites work: Analytic Inequalities
cites work: Some monotonicity properties and characterizations of the gamma function
cites work: Q3276994
cites work: Variance bounds and orthogonal expansions in Hilbert space with an application to inequalities for gamma functions and
cites work: Q4025021
cites work: Über die Ungleichung, welche die Integrale über eine Potenz einer Funktion und über eine andere Potenz ihrer Ableitung verbindet
cites work: An Inequality Satisfied by the Gamma Function
cites work: From Wythoff's Nim to Chebyshev's Inequality
cites work: Superadditive Functions and a Statistical Application
cites work: Q5846853
cites work: Sequence transformations and their applications
cites work: Q3290793
description: scientific article; zbMATH DE number 963302