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Journal of Inequalities and Applications

Journal of Inequalities and Applications Cover Image
Research Article
Open Access

Inverses of new Hilbert-Pachpatte-type inequalities

Journal of Inequalities and Applications20062006:97860

https://doi.org/10.1155/JIA/2006/97860

©  C.-J. Zhao and W.-S. Cheung. 2006

Received: 7 February 2006

Accepted: 5 June 2006

Published: 8 October 2006

Abstract

We establish a new inequality of Hilbert type for a finite double number of nonnegative sequences of real numbers and some interrelated results, which are inverse and general forms of Pachpatte's and Handley's results. An integral version and some interrelated results are also obtained. These results provide some new estimates on such types of inequalities.

Keywords

Real NumberIntegral VersionDouble NumberNonnegative SequenceHilbert Type

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Authors’ Affiliations

(1)
Department of Information and Mathematics Sciences, College of Science, China Jiliang University, Hangzhou, China
(2)
Department of Mathematics, The University of Hong Kong, Hong Kong

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Copyright

© C.-J. Zhao and W.-S. Cheung. 2006

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.

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