Polar Duals of Rotors

被引：0

作者：

Ghandehari M. Department of Mathematics Noval Postgraduate School Monterey

机构：

来源：

Acta Mathematica Sinica,English Series | 1996年 / 01期

关键词：

Rotor; Polar dual; Regulor Simplex;

D O I：

暂无

中图分类号：

O178 [不等式及其他];

学科分类号：

0701 ; 070101 ;

摘要：

Assume K is a rotor in a regular simplex of heihgt 1 in an n-dimensional Euclideanspace. Let K~* denote the polar dual of K. Then the volume V(K~*) satisfies the inequality V(K~*)≥(n+1)~nω,where ωdenotes the volume of an n-dimensional unit ball. Equality holds if and only if K is a ballcentered at the centroid of the simplex.

引用

页码：40 / 42

页数：3

共 6 条

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