Open Access

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

Journal of Inequalities and Applications20082008:597241

https://doi.org/10.1155/2008/597241

Received: 6 May 2008

Accepted: 13 August 2008

Published: 20 November 2008

Abstract

We first derive a perturbed Ostrowski-type inequality on time scales for 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.

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

(1)
College of Mathematics and Physics, Nanjing University of Information Science and Technology
(2)
Department of Mathematics, College of Science, Viet Nam National University
(3)
Department of Mathematics, National University of Singapore

Copyright

© Wenjun Liu et al. 2008

This article is published under license to BioMed Central Ltd. 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.