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On a New Generalization of Hilbert's Integral Inequality and its Applications

Yang, B and Debnath, L (1999) On a New Generalization of Hilbert's Integral Inequality and its Applications. RGMIA research report collection, 2 (5).

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Abstract

This paper deals with a new generalization of Hilbert's integral inequality with a best possible constant factor involving the β function. As applications, general inequalities equivalent to Hilbert's type inequality and Hardy-Littlewood's integral inequality are proved.

Item Type: Article
Uncontrolled Keywords: Hilbert's integral inequality, weight function and β function
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 02:21
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17245
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