Open Access Research Article

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

Wenjun Liu1*, QuốcAnh Ngô23 and Wenbing Chen1

Author Affiliations

1 College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China

2 Department of Mathematics, College of Science, Viet Nam National University, Hanoi, Vietnam

3 Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore, 117543

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Journal of Inequalities and Applications 2008, 2008:597241  doi:10.1155/2008/597241


The electronic version of this article is the complete one and can be found online at: http://www.journalofinequalitiesandapplications.com/content/2008/1/597241


Received: 6 May 2008
Accepted: 13 August 2008
Published: 20 November 2008

© 2008 The Author(s).

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

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.

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