Improvement of the discrete Hardy inequality ...

We establish a novel improvement of the classical discrete Hardy inequality, which gives the discrete version of a recent (continuous) inequality of Frank, Laptev, and Weidl. Our arguments build on certain weighted inequalities based on discrete analogues of symmetric decreasing rearrangement techni...

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Bibliographic Details
Main Authors: Roychowdhury, Prasun, Suragan, Durvudkhan
Format: Article in Journal/Newspaper
Language:unknown
Published: arXiv 2022
Subjects:
Online Access:https://dx.doi.org/10.48550/arxiv.2209.05288
https://arxiv.org/abs/2209.05288
Description
Summary:We establish a novel improvement of the classical discrete Hardy inequality, which gives the discrete version of a recent (continuous) inequality of Frank, Laptev, and Weidl. Our arguments build on certain weighted inequalities based on discrete analogues of symmetric decreasing rearrangement techniques. ... : 11 pages, to appear in Bulletin des Sciences Math\'ematiques ...