加权离散Hardy不等式

IF 0.5 4区数学 Q3 MATHEMATICS

Ukrainian Mathematical Journal Pub Date : 2023-11-28 DOI:10.1007/s11253-023-02252-0

Pascal Lefèvre

引用次数: 6

摘要

我们给出了离散哈代不等式的一个加权形式的简短证明。这包括已知的具有最优常数的经典单项权重的情况。该证明是基于最近在[P.]中给出的简短直接证明的思想。勒费弗,拱门。数学。(巴塞尔)，114,No. 2, 195-198(2020)]。

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Weighted Discrete Hardy’s Inequalities

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, No. 2, 195–198 (2020)].

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来源期刊

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.