Algorithms, convergence and rate of convergence for an interpolation model between Lagrange and Hermite

DOI10.1007/S00025-018-0802-0zbMath1390.41002OpenAlexW2791875427MaRDI QIDQ1743255

Elías Berriochoa, José M. García-Amor, Alicia Cachafeiro

Publication date: 13 April 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0802-0

zbMATH Keywords

interpolationconvergencerate of convergenceChebyshev polynomialsLobatto-Chebyshev nodal systems

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 (1)

The Gibbs-Wilbraham phenomenon in the approximation of \(| x |\) by using Lagrange interpolation on the Chebyshev-Lobatto nodal systems

Cites Work

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• Gibbs phenomenon in the Hermite interpolation on the circle
• Algorithms and convergence for Hermite interpolation based on extended Chebyshev nodal systems
• An interpolation problem on the circle between Lagrange and Hermite problems
• An upper bound for the rate of convergence of the Hermite-Fejer process on the extended Chebyshev nodes of the second kind
• Some new characterizations of the Chebyshev polynomials
• Convergence of Hermite interpolants on the circle using two derivatives
• The numerical stability of barycentric Lagrange interpolation

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