Lebesgue function for multivariate interpolation by radial basis functions

被引：5

作者：

Mehri, Bahman ^{[1
]}

Jokar, Sadegh ^{[1
]}

机构：

[1] Sharif Univ Technol, Dept Math, Tehran, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 187卷 / 01期

关键词：

multivariate interpolation; radial basis functions; Lagrange form; Lebesgue function; Erdos and Bernstein conjecture;

D O I：

10.1016/j.amc.2006.08.127

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Multivariate interpolation and approximation is a powerful tool for intuition of real world. In this paper we study Lebesgue function and Lebesgue constant for multivariate interpolation by conditionally positive definite RBFs. Also we give a conjecture about similar Bernstein and Erdos problem to multivariate case. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：306 / 314

页数：9

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