Polar forms and quadratic spline quasi-interpolants on Powell-Sabin partitions

被引：37
|
作者：
Sbibih, D. [1 ]
Serghini, A. [1 ]
Tijini, A. [1 ]
机构：
[1] Univ Mohammed 1, ESTO, MATSI Lab, Oujda, Morocco
来源：
APPLIED NUMERICAL MATHEMATICS | 2009年 / 59卷 / 05期
关键词：
Polar forms; Quasi-interpolation; Quadratic splines; Powell-Sabin partitions;
D O I：
10.1016/j.apnum.2008.03.040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we introduce the Powell-Sabin B-spline representation of quadratic polynomials or splines in terms of their polar forms. We use this B-representation for constructing several differential or discrete quasi-interpolants which have an optimal approximation order. This new approach is simple and provides an efficient tool for describing many schemes of approximation involving values and (or) derivatives of a given function. (C) 2008 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：938 / 958
页数：21
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