Open Access

On Multivariate Grüss Inequalities

Journal of Inequalities and Applications20082008:249438

DOI: 10.1155/2008/249438

Received: 6 March 2008

Accepted: 20 May 2008

Published: 21 May 2008

Abstract

The main purpose of the present paper is to establish some new Grüss integral inequalities in independent variables. Our results in special cases yield some of the recent results on Pachpatte's, Mitrinović's, and Ostrowski's inequalities, and provide new estimates on such types of inequalities.

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Authors’ Affiliations

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

Copyright

© C.-J. Zhao and W.-S. Cheung. 2008

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.