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Convergence and norm estimates of Hermite interpolation at zeros of Chevyshev polynomials

In this paper, we investigate the simultaneous approximation of a function f(x) and its derivative [Formula: see text] by Hermite interpolation operator [Formula: see text] based on Chevyshev polynomials. We also establish general theorem on extreme points for Hermite interpolation operator. Some re...

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Detalles Bibliográficos
Autores principales: Al-Khaled, Kamel, Alquran, Marwan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5118382/
https://www.ncbi.nlm.nih.gov/pubmed/27933248
http://dx.doi.org/10.1186/s40064-016-3667-2