On non-existence of certain error formulas for ideal interpolation

被引：4

作者：

Shekhtman, Boris ^{[1
]}

机构：

[1] Univ S Florida, Dept Math, Tampa, FL 33620 USA

来源：

JOURNAL OF APPROXIMATION THEORY | 2010年 / 162卷 / 07期

关键词：

Ideal projector; Error formulas; Ideal basis;

D O I：

10.1016/j.jat.2010.02.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We answer a question raised by Carl de Boor regarding the existence of certain "good" error formulas for ideal interpolation. We will show that, for a specific form of ideal interpolation by linear polynomials in two variables, such formulas do not exist. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1398 / 1406

页数：9

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