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.
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页码：357 / 371
页数：15
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