The Chebyshev rank of multivariate polynomials in L1-approximation

被引：2

作者：

Sommer, Manfred ^{[1
]}

机构：

[1] Katholische Univ Eichstatt Ingolstadt, Math Geog Fak, D-85071 Eichstatt, Germany

来源：

JOURNAL OF APPROXIMATION THEORY | 2010年 / 162卷 / 08期

关键词：

Best L-1-approximation; Multivariate polynomials; Property A(k); Chebyshev rank; L1-APPROXIMATION; UNICITY; SUBSPACES;

D O I：

10.1016/j.jat.2010.04.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Weighted best L-1-approximation of multivariate continuous real-valued functions by multivariate polynomials is studied. The largest possible dimension of the sets of best L-1-approximations is determined. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1484 / 1494

页数：11

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