A functional generalization of the interpolation problem

Çetin Dişibüyük

Applied Mathematics and Computation, 2015, vol. 256, issue C, 247-251

Abstract: Given two linearly independent functions f1 and f2, we generalize the interpolating problem to the space πn(f1,f2) spanned by the basis f1n-kf2kk=0n. We show that this problem has a unique solution and represent this solution by a functional analogue of the Lagrange formula. We also give a similar generalization of Hermite interpolation.

Keywords: Interpolation; Generalized Lagrange interpolation; Generalized Hermite interpolation (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:247-251

DOI: 10.1016/j.amc.2014.12.152

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