Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 94960, 11 pages
doi:10.1155/JIA/2006/94960
on multiple Hardy-Hilbert integral inequalities with some parameters
Department of Mathematics, Guangdong University of Business Study, Guangzhou 510320, China
Received 19 April 2006; Revised 30 May 2006; Accepted 5 June 2006
Copyright © 2006 Hong Yong. 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.
Abstract
By introducing some parameters and norm ‖x‖α(x∈ℝn), we give multiple Hardy-Hilbert integral inequalities, and prove that their constant factors are the best possible when parameters satisfy appropriate conditions.