Journal of Inequalities and Applications 
Volume 2008 (2008), Article ID 249438, 8 pages
doi:10.1155/2008/249438
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

Recommended by Martin Bohner

Abstract

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.