Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 38347, 15 pages
Research Article

On Opial-Type Integral Inequalities

Wing-Sum Cheung1 and Chang-Jian Zhao2

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.


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.