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.
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.