On a New Weighted Hilbert Inequality

It is shown that a weighted Hilbert inequality for double series can be established by introducing a proper weight function. Thus, a quite sharp result of the classical Hilbert inequality for double series is obtained. And a similar result for the Hilbert integral inequality is also proved. Some app...

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Bibliographic Details
Main Authors: Gao Mingzhe, Gao Xuemei, He Leping
Format: Article
Language:English
Published: SpringerOpen 2008-06-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/637397