Polyhedral approximations of strictly convex compacta

被引：4

作者：

Balashov, Maxim V. ^{[3
]}

Repovs, Dusan ^{[1
,2
]}

机构：

[1] Univ Ljubljana, Fac Math & Phys, Ljubljana 1000, Slovenia

[2] Univ Ljubljana, Fac Educ, Ljubljana 1000, Slovenia

[3] Moscow Inst Phys & Technol, Dept Higher Math, Dolgoprudnyi 141700, Moscow Region, Russia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 374卷 / 02期

关键词：

Modulus of convexity; Set-valued mapping; Strict convexity; Uniform convexity; Supporting function; Grid; Approximation; SPLITTING PROBLEM; SELECTIONS;

D O I：

10.1016/j.jmaa.2010.09.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider polyhedral approximations of strictly convex compacta in finite-dimensional Euclidean spaces (such compacta are also uniformly convex). We obtain the best possible estimates for errors of considered approximations in the Hausdorff metric. We also obtain new estimates of an approximate algorithm for finding the convex hulls. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：529 / 537

页数：9

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