A note on polynomial interpolation at the Chebyshev extrema nodes
type: Item
instance of: scholarly article
title: A note on polynomial interpolation at the Chebyshev extrema nodes
zbMATH Open document ID: 0546.41008
DOI: 10.1016/0021-9045(84)90046-7
author: N. E. Zubov
published in: Journal of Approximation Theory
publication date: 1984-01-01T00:00:00Z
review text: Some new properties of the Lebesgue function associated with interpolation at the Chebyshev extrema nodes are established. By estimating the degree of asymmetry of the Lebesgue function in the interval of interest, the estimate of Ehlich and Zeller for the norm of the corresponding interpolation operator is improved.
Mathematics Subject Classification ID: 41A10
zbMATH DE Number: 3869904
zbMATH Keywords: Lagrange polynomials
zbMATH Keywords: operator norm
zbMATH Keywords: Lebesgue function
zbMATH Keywords: Chebyshev extrema nodes
zbMATH Keywords: degree of asymmetry
MaRDI profile type: Publication
full work available at URL: 0021-9045(84)90046-7
OpenAlex ID: W2047219501
cites work: Proof of the conjectures of Bernstein and Erdős concerning the optimal nodes for polynomial interpolation
cites work: On the Lebesgue Function for Polynomial Interpolation
cites work: Auswertung der Normen von Interpolationsoperatoren
cites work: A characterization of the Lagrange interpolating projection with minimal Tchebycheff norm
cites work: On a certain class of Lebesgue constants
cites work: Q4054152
cites work: Some new characterizations of the Chebyshev polynomials
description: scientific article; zbMATH DE number 3869904