Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 38347, 15 pages
doi:10.1155/2007/38347
Research Article
On Opial-Type Integral Inequalities
1Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong
2Department of Information and Mathematics Sciences, College of Science, China Jiliang University, Hangzhou 310018, China
Received 22 January 2007; Accepted 4 April 2007
Academic Editor: Peter Yu Hin Pang
Copyright © 2007 Wing-Sum Cheung and Chang-Jian Zhao. 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 new Opial-type inequalities involving functions of two and many independent variables. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type.