Gibbs-Wilbraham oscillation related to an Hermite interpolation problem on the unit circle

DOI10.1016/j.cam.2018.06.005zbMath1460.41001OpenAlexW2809594839WikidataQ129683655 ScholiaQ129683655MaRDI QIDQ724556

D. Kharzeev

Publication date: 26 July 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.06.005

zbMATH Keywords

approximationHermite-Fejér interpolationunit circlepara-orthogonal polynomialsGibbs-Wilbraham phenomenonBaxter class

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (2)

Research on spectrum feature identification of indoor multimodal communication signal ⋮ Gibbs-Wilbraham phenomenon on Lagrange interpolation based on analytic weights on the unit circle

Cites Work

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• Gibbs phenomenon in the Hermite interpolation on the circle
• About measures and nodal systems for which the Hermite interpolants uniformly converge to continuous functions on the circle and interval
• Algorithms for solving Hermite interpolation problems using the fast Fourier transform
• Fine structure of the zeros of orthogonal polynomials. I: A tale of two pictures
• The Gibbs- Wilbraham phenomenon: An episode in Fourier analysis
• Explicit formulas for Hermite-type interpolation on the circle and applications
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• A Graduate Introduction to Numerical Methods

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