The Brunn-Minkowski inequality and nonconvex sets

被引：8
|
作者：
Ruzsa, IZ [1 ]
机构：
[1] HUNGARIAN ACAD SCI,INST MATH,H-1364 BUDAPEST,HUNGARY
来源：
GEOMETRIAE DEDICATA | 1997年 / 67卷 / 03期
基金：
匈牙利科学研究基金会;
关键词：
volume; convexity; convex hull; sumsets;
D O I：
10.1023/A:1004958110076
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We improve the Brunn-Minkowski inequality for nonconvex sets. Besides the volume of the sets, our estimate depends on the volume of the convex hull of one of the sets. The estimate is asymptotically the best possible if this set is fixed and the size of the other tends to infinity.
引用
收藏
页码：337 / 348
页数：12
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