Pointwise approximation with quasi-interpolation by radial basis functions

被引：21

作者：

Buhmann, Martin D. ^{[1
]}

Dai, Feng ^{[2
]}

机构：

[1] Justus Liebig Univ, Math Inst, D-35392 Giessen, Germany

[2] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

来源：

JOURNAL OF APPROXIMATION THEORY | 2015年 / 192卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Quasi-interpolation; Radial basis functions; Convergence estimates; WEIGHTED SOBOLEV SPACES; ORDER;

D O I：

10.1016/j.jat.2014.11.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider radial basis function approximations using at first a localization of the basis functions known as quasi-interpolation (to be contrasted to the plain linear combinations of shifts of radial basis functions or for instance cardinal interpolation). Using these quasi-interpolants we derive various pointwise error estimates in L-P for p is an element of [1, infinity). (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：156 / 192

页数：37

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