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Journal of Inequalities and Applications 
Volume 2008 (2008), Article ID 546829, 14 pages
doi:10.1155/2008/546829

Research Article

On Some Extensions of Hardy-Hilbert's Inequality and Applications

Laith Emil Azar

Department of Mathematics, Al Al-Bayt University, P.O. Box. 130095, Mafraq 25113, Jordan

Received 23 October 2007; Accepted 2 January 2008

Recommended by Shusen Ding

Abstract

By introducing some parameters we establish an extension of Hardy-Hilbert's integral inequality and the corresponding inequality for series. As an application, the reverses, some particular results and their equivalent forms are considered.