INVERSES OF NEW HILBERT-PACHPATTE-TYPE INEQUALITIES

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 in-equalities. Copyright © 2006 C.-J. Zhao and W.-S. Cheung. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, dis-tribution, and reproduction in any medium, provided the original work is properly cited. 1