A closed formula for the Čebyšev barycentric weights of optimal approximation in \(H^ 2\)

DOI10.1007/BF02215678zbMath0803.65008OpenAlexW2068282919MaRDI QIDQ1315196

Jean-Paul Berrut

Publication date: 24 February 1994

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02215678

zbMATH Keywords

numerical examplesoptimal interpolantChebyshev pointsbarycentric formula

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Numerical interpolation (65D05) Algorithms for approximation of functions (65D15)

Cites Work

• Barycentric formulae for some optimal rational approximants involving Blaschke products
• Baryzentrische Formeln zur Trigonometrischen Interpolation. I
• Barycentric formulas for interpolating trigonometric polynomials and their conjugates
• A formula for optimal integration in \(H^ 2\)
• Some New Aspects of Rational Interpolation
• Minimal Interpolation and Approximation in Hilbert Spaces
• Lagrangian Interpolation at the Chebyshev Points xn,     cos (  /n),   = 0(1)n; some Unnoted Advantages
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