Open Access

Hilbert's Type Linear Operator and Some Extensions of Hilbert's Inequality

Journal of Inequalities and Applications20082007:082138

https://doi.org/10.1155/2007/82138

Received: 17 April 2007

Accepted: 3 October 2007

Published: 8 January 2008

Abstract

The norm of a Hilbert's type linear operator is given. As applications, a new generalizations of Hilbert integral inequality, and the result of series analogues are given correspondingly.

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Authors’ Affiliations

(1)
Institute of Logic and Cognition, Department of Mathematics, Sun Yat-Sen University
(2)
Department of Mathematics, Guangdong University of Finance
(3)
Department of Mathematics, Guangdong Education College

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Copyright

© Yongjin Li et al. 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.