Improvement of the discrete Hardy inequality

被引：1
|
作者：
Roychowdhury, Prasun [1 ]
Suragan, Durvudkhan [2 ]
机构：
[1] Natl Taiwan Univ, Math Div, Natl Ctr Theoret Sci, 1 Sec 4 Roosevelt Rd, Taipei 10617, Taiwan
[2] Nazarbayev Univ, Dept Math, Astana, Kazakhstan
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2024年 / 195卷
关键词：
Discrete Hardy's inequality; Sharp constant; Difference operator; Uncertainty principle of discrete; datum;
D O I：
10.1016/j.bulsci.2024.103468
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (c) 2024 Elsevier Masson SAS. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：12
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