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Sharp Integral Inequalities Involving High-Order Partial Derivatives

Journal of Inequalities and Applications volume 2008, Article number: 571417 (2008) Cite this article

Abstract

The main purpose of the present paper is to establish some new sharp integral inequalities involving higher-order partial derivatives. Our results in special cases yield some of the recent results on Agarwal, Wirtinger, Poincaré, Pachpatte, Smith, and Stredulinsky's inequalities and provide some new estimates on such types of inequalities.

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Authors and Affiliations

  1. Department of Information and Mathematics Sciences, College of Science, China Jiliang University, Hangzhou, 310018, China

    C.-J Zhao

  2. Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong

    W.-S Cheung

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  1. C.-J Zhao
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  2. W.-S Cheung
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Correspondence to C.-J Zhao.

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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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Zhao, CJ., Cheung, WS. Sharp Integral Inequalities Involving High-Order Partial Derivatives. J Inequal Appl 2008, 571417 (2008). https://doi.org/10.1155/2008/571417

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  • DOI: https://doi.org/10.1155/2008/571417

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