Orlicz dual of log-Aleksandrov-Fenchel inequality

被引：0
|
作者：
Zhao, Chang-Jian [1 ]
机构：
[1] China Jiliang Univ, Dept Math, Hangzhou 310018, Peoples R China
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2023年 / 52卷 / 02期
基金：
中国国家自然科学基金;
关键词：
dual mixed volume; L-p-dual mixed volume; Orlicz multiple dual mixed volume; dual logarithmic Minkowski inequality; dual Aleksandrov-Fenchel inequality; MINKOWSKI INEQUALITY; BODIES;
D O I：
10.15672/hujms.1038461
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish an Orlicz dual of the log-Aleksandrov-Fenchel inequality, by introducing two new concepts of dual mixed volume measures, and using the newly established Orlicz dual Aleksandrov-Fenchel inequality. The Orlicz dual log-Aleksandrov-Fenchel inequality in special cases yields the classical dual Aleksandrov-Fenchel inequality and some dual logarithmic Minkowski type inequalities, respectively. Moreover, the dual log-Aleksandrov-Fenchel inequality is therefore also derived.
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页码：317 / 325
页数：9
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