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

Dragomir, Sever S and 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).

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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
Uncontrolled Keywords: inequalities for beta and gamma functions, Chebychev's inequality, Hölder's inequality, Grüss' inequality, Ostrowski's inequality
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 19 Jul 2012 01:15
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17205
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