Inequalities for Beta and Gamma Functions Via Some Classical and New Integral Inequalities

Dragomir, Sever S, Agarwal, R. P and Barnett, Neil S (1999) Inequalities for Beta and Gamma Functions Via Some Classical and New Integral Inequalities. RGMIA research report collection, 2 (3).

Abstract

In this survey paper we present the natural application of certain integral inequalities such as, Chebychev's inequality for synchronous and asynchronous mappings, Holder's inequality and Gruss' and Ostrowski's inequalities for the celebrated Euler's Beta and Gamma functions. Natural applications dealing with some adaptive quadrature formulae which can be deduced from Ostrowski's inequality are also pointed out.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17205
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords inequalities for beta and gamma functions, Chebychev's inequality, Hölder's inequality, Grüss' inequality, Ostrowski's inequality
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