Advances in Difference Equations
Volume 2009 (2009), Article ID 484185, 16 pages
doi:10.1155/2009/484185
Research Article

Bounds for Certain New Integral Inequalities on Time Scales

Wei Nian Li1,2

1Department of Applied Mathematics, Shanghai Normal University, Shanghai 200234, China
2Department of Mathematics, Binzhou University, Shandong 256603, China

Received 31 March 2009; Accepted 10 June 2009

Academic Editor: Victoria Otero-Espinar

Copyright © 2009 Wei Nian Li. 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

Our aim in this paper is to investigate some new integral inequalities on time scales, which provide explicit bounds on unknown functions. Our results unify and extend some integral inequalities and their corresponding discrete analogues. The inequalities given here can be used as handy tools to study the properties of certain dynamic equations on time scales.