Order of linear approximation from shift-invariant spaces

被引：41

作者：

Jetter, K

Zhou, DX

机构：

[1] Fachbereich Mathematik, Universität Duisburg, Duisburg

来源：

CONSTRUCTIVE APPROXIMATION | 1995年 / 11卷 / 04期

关键词：

approximation order; Fourier transform; quasi-interpolation; cardinal interpolation; shift-invariant space;

D O I：

10.1007/BF01208430

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Fourier analysis approach is taken to investigate the approximation order of scaled versions of certain linear operators into shift-invariant subspaces of L(2)(R(d)), Quasi-interpolants and cardinal interpolants are special operators of this type, and we give a complete characterization of the order in terms of some type of ellipticity condition for a related function. We apply these results by showing that the L(2)-approximation order of a closed shift-invariant subspace can often he realized by such an operator.

引用

页码：423 / 438

页数：16

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