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On Kergin interpolation in the disk

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Publication:789622
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DOI10.1016/0021-9045(83)90051-5zbMath0533.41001OpenAlexW2042644751MaRDI QIDQ789622

L. P. Bos

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-9045(83)90051-5


zbMATH Keywords

Chebyshev polynomialsKergin interpolant


Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)


Related Items

On best approximation of the monomials on the unit ball of \(\mathbb{R}^ r\) ⋮ Kergin interpolants at the roots of unity approximate \(C^2\) functions ⋮ Invariants and Chebyshev polynomials ⋮ Polynomials of least deviation from zero ⋮ On the integral convergence of Kergin interpolation on the disk



Cites Work

  • Unnamed Item
  • A formula for Kergin interpolation in \(R^ k\).
  • A constructive approach to Kergin interpolation in \(R^ k\): Multivariate B-splines and Lagrange interpolation
  • A natural interpolation of \(C^ k \)functions
  • Some new characterizations of the Chebyshev polynomials
  • On multivariate polynomials of least deviation from zero on the unit ball
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