Open Access Research

On Hilbert type inequalities

Chang-Jian Zhao1* and Wing-Sum Cheung2

Author Affiliations

1 Department of Mathematics, China Jiliang University, Hangzhou, 310018, P.R. China

2 Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong, P.R. China

For all author emails, please log on.

Journal of Inequalities and Applications 2012, 2012:145 doi:10.1186/1029-242X-2012-145

Published: 22 June 2012

Abstract

In the present paper we establish new inequalities similar to the extensions of Hilbert’s double-series inequality and also give their integral analogues. Our results provide some new estimates to these types of inequalities.

MSC: 26D15.

Keywords:
Hilbert’s inequality; Pachpatte’s inequality; Hölder’s inequality