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: 16 April 2008

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’ Affiliations

(1)
Department of Information and Mathematics Sciences, College of Science, China Jiliang University
(2)
Department of Mathematics, The University of 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.