Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 90641, 12 pages
Research Article

New Inequalities Similar to Hardy-Hilbert Inequality and their Applications

Lü Zhongxue1 and Xie Hongzheng2

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.


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.