Gibbs phenomenon in the Hermite interpolation on the circle

DOI10.1016/J.AMC.2014.12.063zbMath1338.41002OpenAlexW1966021223MaRDI QIDQ298840

J. Díaz, Elías Berriochoa, Alicia Cachafeiro

Publication date: 21 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.12.063

zbMATH Keywords

Laurent polynomialsHermite-Fejér interpolationunit circleGibbs phenomenonHermite interpolation

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (5)

The Gibbs-Wilbraham phenomenon in the approximation of \(| x |\) by using Lagrange interpolation on the Chebyshev-Lobatto nodal systems ⋮ Algorithms, convergence and rate of convergence for an interpolation model between Lagrange and Hermite ⋮ An interpolation problem on the circle between Lagrange and Hermite problems ⋮ Gibbs-Wilbraham oscillation related to an Hermite interpolation problem on the unit circle ⋮ Gibbs-Wilbraham phenomenon on Lagrange interpolation based on analytic weights on the unit circle

Cites Work

• An extension of Fejér's condition for Hermite interpolation
• Algorithms and convergence for Hermite interpolation based on extended Chebyshev nodal systems
• Rate of convergence of Hermite-Fejér polynomials for functions with derivatives of bounded variation
• The Gibbs phenomenon for Fourier interpolation
• Manipulating Gibbs' phenomenon for Fourier interpolation
• A limit function for equidistant Fourier interpolation
• FOURIER FORMULAE FOR EQUIDISTANT HERMITE TRIGONOMETRIC INTERPOLATION
• A note on Hermite-Fejér interpolation for the unit circle
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