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IMI/Publicaţii/BASM/Ediţii/BASM n.3 (67), 2011/

A Generalization of Hardy-Hilbert's Inequality for Non-homogeneous Kernel

Authors: Namita Das, Srinibas Sahoo

Abstract

This paper deals with a generalization of Hardy-Hilbert's inequality for non-homogeneous kernel by considering sequences (sn), (tn), the functions Φp, Φq and parameter λ. This inequality generalizes both Hardy-Hilbert's inequality and Mulholland's inequality, which includes most of the recent results of this type. As applications, the equivalent form, some particular results and a generalized Hardy-Littlewood inequality are established.

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