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

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

Recommended by Peter Yu Hin Pang

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.