A closed formula for the Čebyšev barycentric weights of optimal approximation in \(H^ 2\)
type: Item
instance of: scholarly article
title: A closed formula for the Čebyšev barycentric weights of optimal approximation in \(H^ 2\)
zbMATH Open document ID: 0803.65008
DOI: 10.1007/BF02215678
author: Jean-Paul Berrut
published in: Numerical Algorithms
publication date: 1994-02-24T00:00:00Z
review text: A closed barycentric formula for the optimal interpolant in \(H^ 2\) corresponding to the Chebyshev points of the first kind is given. Moreover, only \(O(n)\) operations are necessary for computing all corresponding weights. At last some numerical examples are illustrated for the comparison with other approximation formulas.
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D15
Mathematics Subject Classification ID: 41A50
zbMATH DE Number: 510196
zbMATH Keywords: barycentric formula
zbMATH Keywords: optimal interpolant
zbMATH Keywords: Chebyshev points
zbMATH Keywords: numerical examples
reviewed by: Xinghua Wang
MaRDI profile type: Publication
cites work: Q5558293
cites work: Baryzentrische Formeln zur Trigonometrischen Interpolation. I
cites work: Barycentric formulae for some optimal rational approximants involving Blaschke products
cites work: A formula for optimal integration in \(H^ 2\)
cites work: Q3707245
cites work: Barycentric formulas for interpolating trigonometric polynomials and their conjugates
cites work: Q3286588
cites work: Minimal Interpolation and Approximation in Hilbert Spaces
cites work: Q4120027
cites work: Lagrangian Interpolation at the Chebyshev Points xn, cos ( /n), = 0(1)n; some Unnoted Advantages
cites work: Q5723322
cites work: Some New Aspects of Rational Interpolation
full work available at URL: https://doi.org/10.1007/bf02215678
OpenAlex ID: W2068282919
description: scientific article; zbMATH DE number 510196