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

L. He; S. S. Dragomir; Q. Yang

doi:10.1515/JAA.2006.59

Published by De Gruyter June 9, 2010

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

L. He , S. S. Dragomir and Q. Yang

From the journal Journal of Applied Analysis

https://doi.org/10.1515/JAA.2006.59

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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.

Key words and phrases.: Hardy-Hilbert's integral inequality; Hölder's inequality; weight coefficient; Beta function; Widder's theorem

Received: 2004-04-23

Revised: 2005-01-28

Published Online: 2010-06-09

Published in Print: 2006-June

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

Abstract

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