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On Weighted Mean Matrices Whose lp Norms are Determined on Decreasing Sequences

Gao, Peng (2008) On Weighted Mean Matrices Whose lp Norms are Determined on Decreasing Sequences. Research report collection, 11 (4).

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Abstract

We give a condition on weighted mean matrices so that their lp norms are determined on decreasing sequences when the condition is satisfied. We apply our result to give a proof of a conjecture of Bennett and discuss some related results.

Item Type: Article
Uncontrolled Keywords: Hardy's inequality, Schur's test, weighted mean matrices
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 25 Sep 2012 06:46
Last Modified: 23 May 2013 16:55
URI: http://vuir.vu.edu.au/id/eprint/18397
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