i阶Lp对偶仿射表面积
The i th Lp Dual Affine Surface Area
DOI: 10.12677/PM.2018.81012, PDF,    国家自然科学基金支持
作者: 张 蕊*：西北师范大学数学与统计学院，甘肃 兰州；马统一：河西学院数学与统计学院，甘肃 张掖
关键词: Lp仿射表面积；Lp对偶仿射表面积；i阶Lp对偶表面积；Brunn-Minkowski-Firey理论；i阶Lp对偶仿射表面积；Lp Affine Surface Area； Lp Dual Affine Surface Area； i-th Lp Affine Surface area； Brunn-Minkowski-Firey Theory； i-th Lp Dual Affine Surface Area
摘要: Ludwig根据Lp混合体积的定义引进了Lp仿射表面积的概念，随后汪和何定义了Lp仿射对偶仿射表面积。近年，马统一引进了i阶Lp仿射表面积，本文介绍了的i阶Lp对偶仿射表面积的定义并且利用Brunn-Minowski-Fiery理论建立了几个不等式。
Abstract: According to the Lp mixed volume, Ludwig extended the notion of Lp-affine surface area. Recently, Wang and He extended the Lp dual affine surface area. More recently, Ma studied the i-th Lp affine surface area. In this paper, we introduce the concept of i-th Lp dual affine surface area and established some inequalities according to the Brunn-Minowski-Fiery.
文章引用：张蕊, 马统一. i阶Lp对偶仿射表面积[J]. 理论数学, 2018, 8(1): 99-104. https://doi.org/10.12677/PM.2018.81012

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