Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 464976, 13 pages
doi:10.1155/2010/464976
Research Article

On Some Integral Inequalities on Time Scales and Their Applications

Run Xu,1 Fanwei Meng,1 and Cuihua Song2

1School of Mathematical Sciences, Qufu Normal University, Qufu, 273165 Shandong, China
2School of Chemistry and Chemical Engineering, Qufu Normal University, Qufu, 273165 Shandong, China

Received 15 January 2010; Revised 3 March 2010; Accepted 18 March 2010

Academic Editor: Martin Bohner

Copyright © 2010 Run Xu 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

The purpose of this paper is to investigate some new dynamic inequalities on time scales. We establish some new dynamic inequalities; the results unify and extend some continuous inequalities and their corresponding discrete analogues. The inequalities given here can be used as tools in the qualitative theory of certain dynamic equations. Some examples are given in the end of this paper.