Sharp inequalities for the beta function

DOI10.1016/S0019-3577(01)80002-1zbMath0983.33001MaRDI QIDQ5947103

Horst Alzer

Publication date: 16 April 2002

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

gammabeta functionssharp inequalities

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities involving other types of functions (26D07)

Related Items (12)

Integral representations for Neumann-type series of Bessel functions $I_{𝜈},$ $Y_{𝜈}$ and $K_{𝜈}$ ⋮ Solutions of fractional logistic equations by Euler's numbers ⋮ Weighted finite Laplace transform operator: spectral analysis and quality of approximation by its eigenfunctions ⋮ Some new inequalities for the beta function and certain ratios of beta functions ⋮ Weighted integral and integro-differential inequalities ⋮ Characterization of lacunary functions in weighted Bergman–Besov–Lipschitz spaces ⋮ Inequalities for the beta function ⋮ Inequalities for the beta function of n variables ⋮ Unnamed Item ⋮ Some properties of the Fuss-Catalan numbers ⋮ Integral inequalities in probability theory revisited ⋮ Some logarithmically completely monotonic functions and inequalities for multinomial coefficients and multivariate beta functions

Cites Work

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• Die Ungleichungen von Vietoris
• Some monotonicity properties and characterizations of the gamma function
• Inequalities for Beta and Gamma functions via some classical and new integral inequalities
• Analytic Inequalities
• On hypergeometric functions and generalizations of Legendre's relation

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