The areas log-Minkowski inequality

被引：2
作者：
Zhao, Chang-Jian [1 ]
机构：
[1] China Jiliang Univ, Dept Math, Hangzhou 310018, Peoples R China
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2021年 / 115卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Surface area; Mixed surface area; L-p-mixed surface areas; Orlicz mixed surface area; Log-Minkowski inequality; Orlicz Minkowski inequality for mixed surface areas; FIREY THEORY; AFFINE;
D O I：
10.1007/s13398-021-01065-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we first propose and establish an Orlicz log-Minkowski inequality for affine surface areas by introducing new concepts of affine surface area measures and using the newly established Orlicz Minkowski inequality for mixed affine surface areas. The new Orlicz log-Minkowski inequality in special cases yields the classical Minkowski inequality for mixed affine surface areas, areas log-Minkowki inequality L-p log-Minkowski inequality for affine surface areas and other log-Minkowski type inequalities for affine surface areas.
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页数：10
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