Abstract
In this note, we prove an improvement of the classical discrete Hardy inequality. Our improved Hardy-type inequality holds with a weight w which is strictly greater than the classical Hardy weight wH(n) ≔ 1/(2n)2, where .
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Acknowledgments
M. K. acknowledges the financial support of the German Science Foundation. Y. P. and F. P. acknowledge the support of the Israel Science Foundation (grants no. 970/15) founded by the Israel Academy of Sciences and Humanities. Furthermore, F. P. is grateful for support through a Technion Fine Fellowship.