Low degree rational spline interpolation

被引：0

作者：

Peeter Oja

机构：

[1] University of Tartu,Faculty of Mathematics

来源：

BIT Numerical Mathematics | 1997年 / 37卷

关键词：

65D07; Interpolation; rational spline;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For a strictly monotone functionf on [a,b] we describe the possibility of finding an interpolating rational splineS of the formS(x)=c0+c1x/(1+d1x) on each subinterval of the grida=x0<x1<...<xn=b. This leads to a nonlinear system for which we get the local existence and uniqueness of a solution. We prove that ‖S−f‖∞=O(h3). Numerical test shows good approximation properties of these splines.

引用

页码：901 / 909

页数：8

共 11 条

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Passow E.(undefined)undefined undefined undefined undefined-undefined

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Schmidt J. W.(undefined)undefined undefined undefined undefined-undefined

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