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
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.
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.