Open Access Research

A note on l p norms of weighted mean matrices

Peng Gao

Author Affiliations

Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 637371 Singapore

Journal of Inequalities and Applications 2012, 2012:110 doi:10.1186/1029-242X-2012-110

Published: 19 May 2012

Abstract

We present some results concerning the lp norms of weighted mean matrices. These results can be regarded as analogues to a result of Bennett concerning weighted Carleman's inequalities.

2000 Mathematics Subject Classification: Primary 47A30.

Keywords:
Carleman's inequality; Hardy's inequality; weighted mean matrices