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A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications

Leping, He, Dragomir, Sever S and Qiaoshun, Yang (2004) A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications. Research report collection, 7 (2).

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Abstract

In this paper, by introducing some parameters and by employing a sharpening of Hölder’s inequality, a new generalization of Hardy-Hilbert integral inequality involving the Beta function is established. At the same time, an extension of Widder’s theorem is given.

Item Type: Article
Uncontrolled Keywords: Hardy-Hilbert's integral inequality, Hölder's inequality, weight coefficient, beta function, Widder's theorem
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 17 Nov 2011 05:03
Last Modified: 23 May 2013 16:48
URI: http://vuir.vu.edu.au/id/eprint/17159
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