Convergence rates of a family of barycentric osculatory rational interpolation

被引：3

作者：

Jing, Ke ^{[1
]}

Kang, Ning ^{[2
]}

Zhu, Gongqin ^{[3
]}

机构：

[1] Fuyang Normal Univ, Sch Math & Stat, Fuyang 236037, Peoples R China

[2] Fuyang Normal Univ, Sch Econ, Fuyang 236037, Peoples R China

[3] Hefei Univ Technol, Sch Math, Hefei 230009, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2017年 / 53卷 / 1-2期

关键词：

Osculatory rational interpolation; Convergence rate; Hermite; interpolation; Barycentric form;

D O I：

10.1007/s12190-015-0962-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is well-known that osculatory rational interpolation sometimes gives better approximation than Hermite interpolation, especially for large sequences of points. However, it is difficult to solve the problem of convergence and control the occurrence of poles. In this paper, we propose and study a family of barycentric osculatory rational interpolation function, the proposed function and its derivative function both have no real poles and arbitrarily high approximation orders on any real interval.

引用

页码：169 / 181

页数：13

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