CONVEX POLYNOMIAL AND RIDGE APPROXIMATION OF LIPSCHITZ FUNCTIONS IN Rd

被引：3

作者：

Konovalov, V. N. ^{[1
]}

Kopotun, K. A. ^{[2
]}

Maiorov, V. E. ^{[3
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, UA-01601 Kiev, Ukraine

[2] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

[3] Technion Israel Inst Technol, IL-32000 Haifa, Israel

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2010年 / 40卷 / 03期

关键词：

D O I：

10.1216/RMJ-2010-40-3-957

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider classes of uniformly bounded convex bodies in R-d, d >= 1, and obtain exact orders of approximation of these classes by convex polynomials in L-p, 1 <= p <= infinity. If d > 1, we also find exact orders of approximation by convex ridge functions in L-2.

引用

页码：957 / 976

页数：20

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