A new basis for osculatory interpolation problems and applications

A. Lamnii, M. Lamnii and F. Oumellal

Applied Mathematics and Computation, 2016, vol. 283, issue C, 355-368

Abstract: In this paper we present a polynomial basis based on two-point osculatory interpolation. By exploring some interesting properties of this basis, we derive the smoothness conditions. These conditions can be used for the construction of smooth splines with a low polynomial degree in terms of data points. As an application we give an efficient method for constructing composite splines with shape parameters.

Keywords: Spline approximation; Hermite interpolation; Smoothing of functions (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:283:y:2016:i:c:p:355-368

DOI: 10.1016/j.amc.2016.02.060

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