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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

Shanhe Wu

Department of Mathematics, Longyan College, Longyan, Fujian 364012, China

Received 30 December 2006; Accepted 24 April 2007

Recommended by Laszlo I. Losonczi

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.