Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 546829, 14 pages
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

Academic Editor: Shusen Ding

Copyright © 2008 Laith Emil Azar. 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.


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.