\(L_{\infty}\) convergence of interpolation and associated product integration for exponential weights.

DOI10.1016/S0021-9045(02)00020-5zbMath1061.41010MaRDI QIDQ1867270

Yanyan Li

Publication date: 2 April 2003

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

zbMATH Keywords

rulesHermiteProduct integrationExponential weightsGrünwald interpolationsHermite--Fejér

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Approximate quadratures (41A55)

Related Items (2)

A tribute to Géza Freud ⋮ Necessary conditions of convergence of Hermite-Fejér interpolation polynomials for exponential weights

Cites Work

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• The weighted \(L_ p\)-norms of orthonormal polynomials for Erdös weights
• Hermite and Hermite-Fejér interpolation and associated product integration rules on the real line: The \(L_ \infty\) theory
• Christoffel functions, orthogonal polynomials, and Nevai's conjecture for Freud weights
• The Lebesgue function and Lebesgue constant of Lagrange interpolation for Erdős weights
• Mean convergence of Hermite-Feijér and Hermite interpolation for Freud weights
• The weighted \(L_ p\)-norms of orthonormal polynomials for Freud weights
• Weighted Lagrange and Hermite-Fejér interpolation on the real line
• A class of orthogonal polynomials
• Hermite and Hermite-Fejer Interpolation and Associated Product Integration Rules on the Real Line: The L₁ Theory
• Christoffel functions and orthogonal polynomials for exponential weights on [-1,1]
• Necessary and Sufficient Conditions for Mean Convergence of Lagrange Interpolation for Erdős Weights
• On mean convergence of Hermite-Fejér and Hermite interpolation for Erdős weights

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