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Sharp Integral Inequalities Involving High-Order Partial Derivatives

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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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

Keywords

  • Partial Derivative
  • Recent Result
  • Full Article
  • Integral Inequality
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