Optimal Hermite-Fejér interpolation of algebraic polynomials and the best one-sided approximation on the interval \([-1,1]\)

DOI10.1016/j.jmaa.2024.128142MaRDI QIDQ6130362

Dandan Guo, Yong-ping Liu

Publication date: 2 April 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Hermite-Fejér interpolationsmooth functionone-sided approximation

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for ordinary differential equations (65Lxx) Approximations and expansions (41Axx)

Cites Work

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• Best one-sided \(L_1\) approximation to the Heaviside and sign functions
• Lower bounds by Birkhoff interpolation
• RMVPIA: a new algorithm for computing the Lagrange multivariate polynomial interpolation
• Best one-sided approximation for the class of differentiable functions by algebraic polynomials in the mean
• Best one-sided approximation in the mean of the characteristic function of an interval by algebraic polynomials
• Well-conditioned fractional collocation methods using fractional Birkhoff interpolation basis
• On node distributions for interpolation and spectral methods
• The Classical Orthogonal Polynomials

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