On Hilbert's Inequality for Double Series and Its Applications

Zhou Yu and Gao Mingzhe

International Journal of Mathematics and Mathematical Sciences, 2008, vol. 2008, 1-12

Abstract:

This study shows that a refinement of the Hilbert inequality for double series can be established by introducing a real function and a parameter . In particular, some sharp results of the classical Hilbert inequality are obtained by means of a sharpening of the Cauchy inequality. As applications, some refinements of both the Fejer-Riesz inequality and Hardy inequality in function are given.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:165089

DOI: 10.1155/2008/165089

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