Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 597241, 12 pages
Research Article

A Perturbed Ostrowski-Type Inequality on Time Scales for k Points for Functions Whose Second Derivatives Are Bounded

Wenjun Liu,1 Quốc Anh Ngô,2,3 and Wenbing Chen1

1College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China
2Department of Mathematics, College of Science, Viet Nam National University, Hanoi, Vietnam
3Department of Mathematics, National University of Singapore, 2 Science Drive 2, 117543, Singapore

Received 6 May 2008; Accepted 13 August 2008

Academic Editor: Kunquan Lan

Copyright © 2008 Wenjun Liu 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.


We first derive a perturbed Ostrowski-type inequality on time scales for k points for functions whose second derivatives are bounded and then unify corresponding continuous and discrete versions. We also point out some particular perturbed integral inequalities on time scales for functions whose second derivatives are bounded as special cases.