Inequalities for Beta and Gamma functions via some classical and new integral inequalities
type: Item
instance of: scholarly article
title: Inequalities for Beta and Gamma functions via some classical and new integral inequalities
zbMATH Open document ID: 0948.26011
DOI: 10.1155/S1025583400000084
author: Silvestru Sever Dragomir
author: Ravi P. Agarwal
author: N. S. Barnett
published in: Journal of Inequalities and Applications
publication date: 2000-11-19T00:00:00Z
full work available at URL: https://eudml.org/doc/120603
review text: This paper contains certain applications of classical inequalities as by Chebychev, Hölder, Grüss, Ostrowski, etc. in the theory of the Euler Gamma and Beta functions. Section 2 presents some standard facts, while in Section 3 appear the first applications. However, Theorems 5-7 are well-known in the literature (the application of Hölder's inequality is known); Theorems 1-4 can be deduced as consequences of a simple property of the Gamma function [see the reviewer's paper: ``On the Gamma function. III'' (to appear)]. The applications of Ostrowski or Grüss-type inequalities or other quadrature formulae seem to be new, but even for these results the reviewer feels that there are more natural ways involving the analytical or other properties of Gamma or some related special functions.
reviewed by: József Sándor
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 33B15
zbMATH DE Number: 1441785
zbMATH Keywords: inequalities for Gamma and Beta functions
zbMATH Keywords: Chebychev
zbMATH Keywords: Hölder
zbMATH Keywords: Grüss
zbMATH Keywords: Ostrowski
MaRDI profile type: Publication
OpenAlex ID: W2157760979
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description: scientific article; zbMATH DE number 1441785