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  • Research Article
  • Open Access

Sharp Integral Inequalities Involving High-Order Partial Derivatives

Journal of Inequalities and Applications20082008:571417

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

  • Received: 28 November 2007
  • Accepted: 10 April 2008
  • Published:

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.

Keywords

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

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

(1)
Department of Information and Mathematics Sciences, College of Science, China Jiliang University, Hangzhou, 310018, China
(2)
Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong

Copyright

© C.-J Zhao and W.-S Cheung. 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.

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