On the Sauer-Xu formula for the error in multivariate polynomial interpolation

被引：5

作者：

DeBoor, C

机构：

[1] Computer Sciences Department, University of Wisconsin-Madison, Madison, WI 53706

来源：

MATHEMATICS OF COMPUTATION | 1996年 / 65卷 / 215期

关键词：

polynomials; multivariate; interpolation; error; remainder formula; divided difference;

D O I：

10.1090/S0025-5718-96-00727-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Use of a new notion of multivariate divided difference leads to a short proof of a formula by Sauer and Xu for the error in interpolation, by polynomials of total degree less than or equal to n in d variables, at a 'correct' point set.

引用

页码：1231 / 1234

页数：4