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.

引用

页码：367 / 378

页数：12

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