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

Journal of Inequalities and Applications volume 2008, Article number: 597241 (2008) Cite this article

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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Authors and Affiliations

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

    Wenjun Liu & Wenbing Chen

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

    QuốcAnh Ngô

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

    QuốcAnh Ngô

Authors
  1. Wenjun Liu
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  2. QuốcAnh Ngô
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  3. Wenbing Chen
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Correspondence to Wenjun Liu.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Liu, W., Ngô, Q. & Chen, W. A Perturbed Ostrowski-Type Inequality on Time Scales for Points for Functions Whose Second Derivatives Are Bounded. J Inequal Appl 2008, 597241 (2008). https://doi.org/10.1155/2008/597241

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

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