The approximation properties of some rational cubic splines

被引：52

作者：

Duan, Q

Djidjeli, K

Price, WG

Twizell, EH ^{[1
]}

机构：

[1] Brunel Univ, Dept Math & Stat, Uxbridge UB8 3PH, Middx, England

[2] Shandong Univ Technol, Dept Math & Phys, Jinan 250061, Peoples R China

[3] Univ Southampton, Dept Ship Sci, Southampton SO17 1BJ, Hants, England

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1999年 / 72卷 / 02期

基金：

中国国家自然科学基金;

关键词：

rational spline; cubic spline; approximation property; optimal error constant;

D O I：

10.1080/00207169908804842

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the approximation properties of some typical rational cubic splines, including the case with cubic, quadratic or linear denominator. From the point of view of the magnitude of the optimal error constant, it is found that the rational cubic spline with linear denominator gives the best approximation to the function being interpolated.

引用

页码：155 / 166

页数：12

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