Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 249438, 8 pages
Research Article

On Multivariate Grüss Inequalities

Chang-Jian Zhao1 and Wing-Sum Cheung2

1Department of Information and Mathematics Sciences, College of Science, China Jiliang University, Hangzhou 310018, China
2Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong

Received 6 March 2008; Revised 7 May 2008; Accepted 20 May 2008

Academic Editor: Martin Bohner

Copyright © 2008 Chang-Jian Zhao and Wing-Sum Cheung. 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.


The main purpose of the present paper is to establish some new Grüss integral inequalities in n 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.