International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 2, Pages 403-408
On new strengthened Hardy-Hilbert's inequality
1Department of Mathematics, Guangdong Education College, Guangdong, Guangzhou 510303, China
2Department of Mathematics, University of Central Florida, Orlando 32816, Florida, USA
Received 27 February 1997; Revised 8 September 1997
Copyright © 1998 Bicheng Yang and Lokenath Debnath. 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.
In this paper, a new inequality for the weight coefficient
in the form
is proved. This is followed by a strengthened version ofthe Hardy-Hilbert inequality.