International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 918534, 12 pages
The Generalizations of Hilbert's Inequality
1Guangzhou Sontan Polytechnic College, Guangzhou 511370, China
2Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China
Received 24 June 2008; Accepted 2 October 2008
Academic Editor: Feng Qi
Copyright © 2008 Liubin Hua 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.
By introducing some parameters and estimating
the weight functions, we establish a new Hilbert-type inequalities with best
constant factors. The equivalent inequalities are also considered.