International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 918534, 12 pages
doi:10.1155/2008/918534
The generalizations of Hilbert's inequality
Liubin Hua1
, Huazhong Ke2
and Yongjin Li2
1Guangzhou Sontan Polytechnic College, Guangzhou 511370, China
2Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China
Abstract
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.