SOME MULTIDIMENSIONAL OPIAL TYPE INEQUALITIES

被引：0

作者：

Yin, Songting ^{[1
]}

机构：

[1] Tongling Univ, Dept Math & Comp Sci, Tongling 244000, Anhui, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2021年 / 15卷 / 03期

关键词：

Multidimensional Opial inequality; Euclidean space; Minkowski space;

D O I：

10.7153/jmi-2021-15-71

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we establish some multidimensional Opial type inequalities, which are generalized from the one-dimensional case. Based on calculus and some fundamental inequalities, we first present an elementary proof in Euclidean spaces. Then by using the property of the Minkowski gradient and the so called adapted frame field, we further extend the multidimensional Opial type inequalities to a Minkowski space.

引用

页码：1047 / 1053

页数：7

共 5 条

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Zhizhiashvili, L. V.
MATHEMATICAL NOTES, 2006, 80 (1-2) : 175 - 182
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L. V. Zhizhiashvili
Mathematical Notes, 2006, 80 : 175 - 182
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Zeng, Fanqi
He, Qun
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (06)
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Fanqi Zeng
Qun He
Mediterranean Journal of Mathematics, 2017, 14
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Turgay, Nurettin Cenk
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2015, 99 (03) : 415 - 427

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