Weighted discrete Hardy's inequalities

  • Pascal Lefèvre University of Artois, Laboratoire de Mathématiques de Lens (LML), Lens, France
Keywords: Hardy's inequality, Cesàro mean, weight.


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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How to Cite
Lefèvre, P. “Weighted Discrete Hardy’s Inequalities”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 75, no. 7, July 2023, pp. 1009 -12, doi:10.37863/umzh.v75i7.7201.
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