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.
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页码：491 / 500
页数：10
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