Quasi-interpolants based on trigonometric splines

被引：40

作者：

Lyche, T

Schumaker, LL

Stanley, S

机构：

[1] Inst Informat, N-0316 Oslo, Norway

[2] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

[3] Samford Univ, Dept Math & Comp Sci, Birmingham, AL 35229 USA

来源：

JOURNAL OF APPROXIMATION THEORY | 1998年 / 95卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jath.1998.3196

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A general theory of quasi-interpolants based on trigonometric splines is developed which is analogous to the polynomial spline case. The aim is to construct quasi-interpolants which are local, easy to compute, and which apply to a wide class of functions. As examples, we give a detailed treatment including error bounds for two classes which are especially useful in practice. (C) 1998 Academic Press.

引用

页码：280 / 309

页数：30

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