Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 912601, 8 pages
doi:10.1155/2010/912601
Research Article

Hardy-Hilbert-Type Inequalities with a Homogeneous Kernel in Discrete Case

Josip Pečarić1 and Predrag Vuković2

1Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia
2Faculty of Teacher Education, University of Zagreb, Ante Starčevića 55, 40000 Čakovec, Croatia

Received 4 September 2009; Accepted 16 February 2010

Academic Editor: Ondřej Došlý

Copyright © 2010 Josip Pečarić and Predrag Vuković. 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

The main objective of this paper is a study of some new generalizations of Hilbert's and Hardy-Hilbert's type inequalities. We apply our general results to homogeneous functions. We shall obtain, in a similar way as Yang did in (2009), that the constant factors are the best possible when the parameters satisfy appropriate conditions.