On New Extensions of Hilbert's Integral Inequality

He Leping, Gao Mingzhe and Zhou Yu

International Journal of Mathematics and Mathematical Sciences, 2008, vol. 2008, 1-8

Abstract:

It is shown that some new extensions of Hilbert's integral inequality with parameter can be established by introducing a proper weight function. In particular, when , a refinement of Hilbert's integral inequality is obtained. As applications, some new extensions of Widder's inequality and Hardy-Littlewood's inequality are given.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:297508

DOI: 10.1155/2008/297508

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