Open Access

Improvement of Aczél's Inequality and Popoviciu's Inequality

Journal of Inequalities and Applications20072007:072173

DOI: 10.1155/2007/72173

Received: 30 December 2006

Accepted: 24 April 2007

Published: 6 June 2007


We generalize and sharpen Aczél's inequality and Popoviciu's inequality by means of two classical inequalities, a unified improvement of Aczél's inequality and Popoviciu's inequality is given. As application, an integral inequality of Aczél-Popoviciu type is established.


Authors’ Affiliations

Department of Mathematics, Longyan College


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© Shanhe Wu 2007

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.