Affine inequalities for Lp mean zonoids

被引：5
|
作者：
Xi, Dongmeng [1 ]
Guo, Lujun [1 ]
Leng, Gangsong [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2014年 / 46卷
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1112/blms/bdt095
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the L-p(p >= 1) mean zonoid of a convex body K is given, and we show that it is the L-p centroid body of radial (n + p)th mean body of K up to a dilation. We also establish some affine inequalities of these bodies by proving that the volume of the new bodies is decreasing under Steiner symmetrization.
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页码：367 / 378
页数：12
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