ITERATED MEANS OF CONVEX-BODIES

被引:0
|
作者
GREGORAC, RJ
机构
[1] Department of Mathematics, Iowa State University, Ames, 50011, Iowa
来源
MONATSHEFTE FUR MATHEMATIK | 1992年 / 113卷 / 03期
关键词
D O I
10.1007/BF01641767
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let K be a convex body in R(n) with polar K^. Let +p refer to Firey p or p-dot means. If 0 < lambda < 1,p greater-than-or-equal-to 1, K1 =lambda-K+(1-lambda)K^ and K(i+1) = lambda-K(i)+p(1 - lambda)K(i)^, for i greater-than-or-equal-to 1, then lim(i --> infinity) K(i) is the unit ball in R(n).
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页码:189 / 198
页数:10
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