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).

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
URI https://vuir.vu.edu.au/id/eprint/18397
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Hardy's inequality, Schur's test, weighted mean matrices
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