Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 820857, 7 pages
doi:10.1155/2010/820857
Research Article

On Hilbert-Pachpatte Multiple Integral Inequalities

Changjian Zhao,1 Lian-ying Chen,1 and Wing-Sum Cheung2

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

Received 11 March 2010; Revised 16 July 2010; Accepted 28 July 2010

Academic Editor: N. Govil

Copyright © 2010 Changjian Zhao et al. 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.

Abstract

We establish some multiple integral Hilbert-Pachpatte-type inequalities. As applications, we get some inverse forms of Pachpatte's inequalities which were established in 1998.