On weighted Hardy inequalities for non-increasing sequences

Published 28 Jan 2014 in math.FA | (1401.7156v1)

Abstract: A result of Bennett and Grosse-Erdmann characterizes the weights for which the corresponding weighted Hardy inequality holds on the cone of non-negative, non-increasing sequences and a bound for the best constant is given. In this paper, we improve the bound for $1<p \leq 2$.

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Peng Gao

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