On New Extensions of Hilbert's Integral Inequality-Reference-Cited by-同舟云学术

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On New Extensions of Hilbert's Integral Inequality

Published:2008 Issue: Volume:2008 Page:1-8
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Leping He¹,Mingzhe Gao²,Yu Zhou²

Affiliation:

1. Department of Mathematics and Applied Mathematics, College of Mathematics and Computer Science, Jishou University, Jishou Hunan 416000, China

2. Department of Mathematics and Computer Science, Normal College of Jishou University, Jishou Hunan 416000, China

Abstract

It is shown that some new extensions of Hilbert's integral inequality with parameterλ(λ>1/2)can be established by introducing a proper weight function. In particular, whenλ=1, 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.

Funder

Scientific Research Fund of Hunan Provincial Education Department

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2008/297508.pdf

Reference8 articles.

1. NOTE On New Extensions of Hilbert's Integral Inequality

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