International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 76329, 6 pages
doi:10.1155/2007/76329
On further analogs of Hilbert's inequality
Yongjin Li1
, You Qian2
and Bing He3
1Institute of Logic and Cognition, Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China
2Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China
3Department of Mathematics, Guangdong Education College, Guangzhou 510303, China
Abstract
By introducing the function |lnx−lny|/(x+y+|x−y|), we establish new inequalities similar to Hilbert's type inequality for integrals. As applications, we give its equivalent form as well.