The complete asymptotic expansion for the degree of approximation of Lipschitz functions by Hermite-Fejér interpolation polynomials

DOI10.1016/0021-9045(85)90085-1zbMath0569.41027OpenAlexW2062697776MaRDI QIDQ1061332

S. J. Goodenough

Publication date: 1985

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(85)90085-1

zbMATH Keywords

Chebyshev polynomialHermite-Fejér interpolation polynomialmaximum interpolation error

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25)

Related Items (3)

Asymptotic expansion for the approximation of the Lipschitz function by the Hermite-Fejér interpolation polynomial ⋮ A link between Lebesgue constants and Hermite-Fejér interpolation ⋮ Error estimates for the approximation of functions by certain interpolation polynomials

Cites Work

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• Some new characterizations of the Chebyshev polynomials
• Evaluation of Lebesgue Constants
• On the Lebesgue Function for Polynomial Interpolation
• The Rapidity of Convergence of the Hermite-Fejer Approximation to Functions of One or Several Variables

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