Inverses of new Hilbert-Pachpatte-type inequalities

Abstract

We establish a newinequality of Hilbert type for a finite double number ofnonnegative sequences of real numbers and some interrelatedresults, which are inverse and general forms of Pachpatte's andHandley's results. An integral version and some interrelatedresults are also obtained. These results provide some newestimates on such types of inequalities.