Weighted discrete Hardy's inequalities

Pascal Lefèvre

doi:10.37863/umzh.v75i7.7201

Pascal Lefèvre University of Artois, Laboratoire de Mathématiques de Lens (LML), Lens, France

DOI: https://doi.org/10.37863/umzh.v75i7.7201

Keywords: Hardy's inequality, Cesàro mean, weight.

Abstract

UDC 517.5

We give a short proof of a weighted version of the discrete Hardy inequality. This includes the known case of classical monomial weights with optimal constant. The proof is based on the ideas of the short direct proof given recently in [P. Lefèvre, Arch. Math. (Basel), 114, № 2, 195–198 (2020)].

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P. Lefèvre, Weighted discrete Hardy's inequalities (unpublished)}; https://hal.archives-ouvertes.fr/hal-02528265.