Inequalities for convex bodies and their polar bodies

被引：1

作者：

Wei, Bo ^{[1
]}

Wang, Weidong ^{[1
]}

机构：

[1] China Three Gorges Univ, Dept Math, Yichang 443002, Peoples R China

来源：

ARCHIV DER MATHEMATIK | 2013年 / 100卷 / 05期

关键词：

Convex body; Polar body; Dual quermassintegrals; L-p-dual mixed quermassintegrals; DUALS;

D O I：

10.1007/s00013-013-0508-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The infimum of the quermassintegral product W (i) (K)W (i) (K*) for i = n - 1 was established by Lutwak. In this paper, the infimum of the dual quermassintegral product for any p a parts per thousand yen 1 is obtained, and some new inequalities about convex bodies and their polar bodies are established.

引用

页码：491 / 500

页数：10

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