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On the asymptotics of polynomial interpolation to \(|x|^{\alpha}\) at the Chebyshev nodes

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Publication:1935495
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DOI10.1016/J.JAT.2012.09.005zbMath1264.41005OpenAlexW1996555795MaRDI QIDQ1935495

Michael Revers

Publication date: 18 February 2013

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

Full work available at URL: https://doi.org/10.1016/j.jat.2012.09.005


zbMATH Keywords

Lagrange interpolationChebychev nodes


Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05)


Related Items (8)

Bernstein-type constants for approximation of \(| x |^\alpha\) by partial Fourier-Legendre and Fourier-Chebyshev sums ⋮ On estimates of uniform approximations by rational Fourier-Chebyshev integral operators for a certain choice of poles ⋮ The Riesz-Zygmund sums of Fourier-Chebyshev rational integral operators and their approximation properties ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Extremal polynomials and entire functions of exponential type ⋮ On barycentric interpolation. II. Grünwald-Marcinkiewicz type theorems ⋮ Asymptotics of polynomial interpolation and the Bernstein constants


Uses Software

  • Chebfun






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