Local Convergence of Smooth Cubic Spline Interpolates

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1972 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 9, pages 687-694 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Kammerer, W. J.; Reddien, G. W. jun.;

doi: 10.1137/0709057

Local Convergence of Smooth Cubic Spline Interpolates

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Abstract

In this paper we develop local error bounds for smooth cubic spline interpolates of a function f which depend only on the local smoothness of f. Moreover, the rate of convergence will be the same as if f possessed this degree of smoothness over the entire interval.

Keywords

Spline approximation, Numerical interpolation

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