Metric Entropy of Classes of Sets with Positive Reach

被引：1

作者：

Cockreham, James ^{[1
]}

Gao, Fuchang ^{[1
]}

机构：

[1] Univ Idaho, Dept Math, Moscow, ID 83844 USA

来源：

CONSTRUCTIVE APPROXIMATION | 2018年 / 47卷 / 02期

关键词：

Metric entropy; Positive reach; Hausdorff distance; Simplicial approximation; Star-shaped; CONVEX-FUNCTIONS;

D O I：

10.1007/s00365-017-9388-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sharp metric entropy estimates under Hausdorff distance are obtained for classes of bounded sets with positive reach, extending a well-known result of Bronshtein for the class of bounded convex sets.

引用

页码：357 / 371

页数：15

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