Error Estimates for the Cardinal Spline Interpolation

被引：0

作者：

Vainikko, Gennadi ^{[1
]}

机构：

[1] Univ Tartu, Inst Appl Math, EE-50409 Tartu, Estonia

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2009年 / 28卷 / 02期

关键词：

Splines; interpolation; error estimates; best constants;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the Sobolev class W(per)(m,infinity)(R) of 1-periodic functions, an unimprovable error estimate for the spline interpolants of order m on the uniform grid is known. In the present paper, this error estimate is extended to the Sobolev class V(m,infinity)(R) of (nonperiodic) functions on R having bounded mth derivative. Some further error estimates are established including the error estimates for derivatives of the spline interpolant.

引用

页码：205 / 222

页数：18

共 11 条

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