Improvement of the discrete Hardy inequality
Functional Analysis
2024-07-09 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2209.05288,
title = {Improvement of the discrete Hardy inequality},
author = {Prasun Roychowdhury and Durvudkhan Suragan},
journal= {arXiv preprint arXiv:2209.05288},
year = {2024}
}
Comments
11 pages, to appear in Bulletin des Sciences Math\'ematiques