Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 97860, 11 pages
Inverses of new Hilbert-Pachpatte-type inequalities
1Department of Information and Mathematics Sciences, College of Science, China Jiliang University, Hangzhou 310018, China
2Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong
Received 7 February 2006; Revised 3 June 2006; Accepted 5 June 2006
Copyright © 2006 Chang-Jian Zhao and Wing-Sum Cheung. 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.
We establish a new
inequality of Hilbert type for a finite double number of
nonnegative sequences of real numbers and some interrelated
results, which are inverse and general forms of Pachpatte's and
Handley's results. An integral version and some interrelated
results are also obtained. These results provide some new
estimates on such types of inequalities.