Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 90641, 12 pages
doi:10.1155/2007/90641
Research Article
New Inequalities Similar to Hardy-Hilbert Inequality and their Applications
1School of Mathematical Sciences, Xuzhou Normal University, Xuzhou, Jiangsu 221116, China
2Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Received 25 January 2007; Revised 7 July 2007; Accepted 22 November 2007
Academic Editor: Lars-Erik Persson
Copyright © 2007 Lü Zhongxue and Xie Hongzheng. 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
Two classes of new inequalities similar to Hardy-Hilbert inequality are showed by introducing some parameters a,b,c and two real functions φ(x) and ψ(x). Some applications are obtained.