Polynomial interpolation in R3

被引：1
|
作者：
Shekhtman, B [1 ]
机构：
[1] Univ S Florida, Dept Math, Tampa, FL 33620 USA
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 48卷 / 09期
关键词：
Lagrange interpolation; simultaneous approximation; Freud weights;
D O I：
10.1016/j.camwa.2004.10.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we exhibit a 12-dimensional subspace G of polynomials of three variables of degree 3 which interpolates at an arbitrary 4 points, i.e., for every four distinct points u(1),u(2),u(3),u(4) epsilon R-3 and for every function f epsilon C(R-3), there exists a function g epsilon G such that g(u(j)) = f (u(j)), for j = 1, 2, 3, 4. (C) 2004 Elsevier Ltd. All rights reserved.
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页码：1299 / 1304
页数：6
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