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).

引用

页码：189 / 198

页数：10

共 10 条

[1]

Eggleston H. G., 1958, CONVEXITY

[2]

Firey W. J., 1961, PACIFIC J MATH, V11, P1263

[3]

FIREY W J, 1962, MATH SCAND, V10, P17

[4] SOME MEANS OF CONVEX BODIES [J].