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

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

Recommended by Lars-Erik Persson

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.