Weighted discrete Hardy's inequalities
DOI:
https://doi.org/10.37863/umzh.v75i7.7201Keywords:
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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