International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 45378, 6 pages

A new Hilbert-type integral inequality and the equivalent form

Yongjin Li,1 Jing Wu,2 and Bing He1

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

Received 30 April 2006; Revised 10 August 2006; Accepted 21 August 2006

Copyright © 2006 Yongjin Li et al. 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.


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