Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 72173, 9 pages
doi:10.1155/2007/72173
Research Article
Improvement of Aczél's Inequality and Popoviciu's Inequality
Department of Mathematics, Longyan College, Longyan, Fujian 364012, China
Received 30 December 2006; Accepted 24 April 2007
Academic Editor: Laszlo I. Losonczi
Copyright © 2007 Shanhe Wu. 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.
Abstract
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.