Error estimates of Lagrange interpolation and orthonormal expansions for Freud weights

DOI10.1016/S0377-0427(00)00666-XzbMath0984.41003OpenAlexW2040238680MaRDI QIDQ5946616

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Publication date: 21 April 2002

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00666-x

zbMATH Keywords

Lagrange interpolationFreud weightHermite weight function

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Cites Work

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• Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials)
• Weights on the real line that admit good relative polynomial approximation, with applications
• Mean convergence of Lagrange interpolation. II
• \(L_ p\) Markov-Bernstein inequalities for Freud weights
• Necessary and sufficient conditions for mean convergence of orthogonal expansions for Freud weights
• On direct and converse theorems in the theory of weighted polynomial approximation
• Extremal Problems for Polynomials with Exponential Weights
• Necessary and Sufficient Conditions for Mean Convergence of Lagrange Interpolation for Freud Weights
• Mean Convergence of Expansions in Laguerre and Hermite Series
• Mean Convergence of Hermite and Laguerre Series. I
• Some weighted polynomial inequalities
• Jackson and smoothness theorems for Freud weights in \(L_ p (0<p\leq\infty)\)

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