International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 18, Pages 45378, 6 p.
doi:10.1155/IJMMS/2006/45378

A new Hilbert-type integral inequality and the equivalent form

Yongjin Li1 , Jing Wu2 and Bing He1

1Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China
2Department of Statistics, Sun Yat-Sen University, Guangzhou 510275, China

Abstract

We give a new Hilbert-type integral inequality with the best constant factor by estimating the weight function. And the equivalent form is considered.