A link between Lebesgue constants and Hermite-Fejér interpolation

DOI10.1017/S0004972700003075zbMath0639.41001MaRDI QIDQ3781522

S. J. Goodenough

Publication date: 1986

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Lagrange interpolationLebesgue constantsChebyshev polynomialHermite-Fejér- interpolation

Mathematics Subject Classification ID

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

Cites Work

• The complete asymptotic expansion for the degree of approximation of Lipschitz functions by Hermite-Fejér interpolation polynomials
• A new estimate for the approximation of functions by Hermite-Fejer interpolation polynomials
• The approximation of continuous functions by positive linear operators
• Auswertung der Normen von Interpolationsoperatoren
• Evaluation of Lebesgue Constants
• Asymptotic Expansion of the Lebesgue Constants Associated with Polynomial Interpolation
• A Note on the Rate of Convergence of Hermite-Fejér Interpolation Polynomials^*
• The Rapidity of Convergence of the Hermite-Fejer Approximation to Functions of One or Several Variables
• On the Maximum Errors of Polynomial Approximations Defined by Interpolation and by Least Squares Criteria
• On the convergence of Hermite-Fejér interpolation

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