ONE-DIMENSIONAL INTEGRAL RELLICH TYPE INEQUALITIES

被引：0

作者：

Ozawa, T. ^{[1
]}

Roychowdhury, P. ^{[2
]}

Suragan, D. ^{[3
]}

机构：

[1] Waseda Univ, Dept Appl Phys, Okubo 3-4-1,Shinjuku Ku, Tokyo 1698555, Japan

[2] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Via Cozzi 55, I-20125 Milan, Italy

[3] Nazarbayev Univ, Dept Math, Kabanbay Batyr Ave 53, Astana 010000, Kazakhstan

来源：

EURASIAN MATHEMATICAL JOURNAL | 2025年 / 16卷 / 01期

关键词：

Hardy inequality; Rellich inequality; Hardy Rellich inequality; sharp constant; HARDY; CONSTANTS;

D O I：

10.32523/2077-9879-2025-16-1-86-93

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The motive of this note is twofold. Inspired by the recent development of a new kind of Hardy inequality, here we discuss the corresponding Hardy-Rellich and Rellich inequality versions in the integral form. The obtained sharp Hardy-Rellich type inequality improves the previously known result. Meanwhile, the established sharp Rellich type integral inequality seems new

引用

页码：86 / 93

页数：8