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Journal of Applied Mathematics and Computing

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07-12-2015 | Original Research

Convergence rates of a family of barycentric osculatory rational interpolation

Authors: Ke Jing, Ning Kang, Gongqin Zhu

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2017

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Abstract

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.

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Title: Convergence rates of a family of barycentric osculatory rational interpolation
Authors: Ke Jing
Ning Kang
Gongqin Zhu
Publication date: 07-12-2015
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2017
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-015-0962-y

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