Inequalities for the beta function of n variables

DOI10.1017/S1446181100012979zbMath1032.33001MaRDI QIDQ4430645

Horst Alzer

Publication date: 12 October 2003

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

best constantsInequalitiesBeta and Gamma functions

Mathematics Subject Classification ID

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

Related Items (10)

Some new inequalities for the beta function and certain ratios of beta functions ⋮ On polyanalytic functions in several complex variables ⋮ Algebra generated by Toeplitz operators with \(\mathbb{T} \)-invariant symbols ⋮ Algebras generated by Toeplitz operators on the unit sphere. II: Non commutative case ⋮ Recursive estimation of high-order Markov chains: approximation by finite mixtures ⋮ Unnamed Item ⋮ Inequalities for the beta function ⋮ Constructing curves and triangular patches by Beta functions ⋮ Inequalities concerning the -gamma and -polygamma functions ⋮ Some inequalities involving two generalized beta functions in \(n\) variables

Cites Work

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• Die Ungleichungen von Vietoris
• Inequalities for Beta and Gamma functions via some classical and new integral inequalities
• Superadditivity inequalities
• Some function classes related to the class of convex functions
• A Stochastic Approach to the Gamma Function
• Analytic Inequalities
• On some inequalities for the gamma and psi functions
• Subadditive functions
• On hypergeometric functions and generalizations of Legendre's relation
• Sharp inequalities for the beta function

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