The Brunn-Minkowski-Firey inequality for nonconvex sets

被引：31
作者：
Lutwak, Erwin [1 ]
Yang, Deane [1 ]
Zhang, Gaoyong [1 ]
机构：
[1] NYU, Polytech Inst, Brooklyn, NY 11201 USA
来源：
ADVANCES IN APPLIED MATHEMATICS | 2012年 / 48卷 / 02期
基金：
美国国家科学基金会;
关键词：
Brunn-Minkowski inequality; Brunn-Minkowski-Firey inequality; Minkowski combinations; Minkowski-Firey L-p-combinations; AFFINE; BODIES; BODY;
D O I：
10.1016/j.aam.2011.11.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The definition of Minkowski-Firey L-p-combinations is extended from convex bodies to arbitrary subsets of Euclidean space. The Brunn-Minkowski-Firey inequality (along with its equality conditions), previously established only for convex bodies, is shown to hold for compact sets. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：407 / 413
页数：7
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