On Berman's phenomenon for (0,1,2) Hermite-Fejér interpolation

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Given \(f\in C[-1,1]\) and \(n\) points (nodes) in \([-1,1]\), the Hermite-Fejer interpolation (HFI) polynomial is the polynomial of degree at most \(2n-1\) which agrees with \(f\) and has zero derivative at each of the nodes. In 1916, L. Fejer showed that if the nodes are chosen to be the zeros of...

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Bibliographic Details
Published in:Journal of Numerical Analysis and Approximation Theory
Main Authors: Graeme J Byrne, Simon Jeffrey Smith
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2019-09-01
Subjects:
interpolation
polynomial interpolation
Hermite–Fej´er interpolation
Chebyshev nodes
Berman’s phenomenon
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/1163

Internet

https://ictp.acad.ro/jnaat/journal/article/view/1163

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