On an interpolation polynomial of S. N. Bernstein type
type: Item
instance of: scholarly article
title: On an interpolation polynomial of S. N. Bernstein type
zbMATH Open document ID: 0843.41003
DOI: 10.1007/BF02187392
author: Jiaxing He
author: Jichang Ye
published in: Acta Mathematica Hungarica
publication date: 1996-06-04T00:00:00Z
review text: The main object of the paper is the modification of the construction of a sequence of interpolation nodes (zeros of Chebyshev polynomials) and of the corresponding prescription of values due to S. N. Bernstein (1932) in such a way that for any continuous function \(f: [-1,1 ]\to \mathbb{R}\) the order of convergence of the corresponding interpolation polynomials \(P_n (f)\), \(n=1, 2, \dots\), is the order of best approximation.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A50
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 878135
zbMATH Keywords: interpolation polynomial of Bernstein type
zbMATH Keywords: best approximation
zbMATH Keywords: Chebyshev polynomials
reviewed by: J. Saurer
MaRDI profile type: Publication
cites work: Q4693572
cites work: On an interpolation process of S. N. Bernstein
cites work: Convergence order of interpolation process by Bernstein polynomials
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description: scientific article; zbMATH DE number 878135