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Explicit min-max polynomials on the disc

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Publication:547876
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DOI10.1016/j.jat.2011.02.002zbMath1226.41002OpenAlexW1997845940MaRDI QIDQ547876

Franz Peherstorfer, Ionela Moale

Publication date: 27 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.jat.2011.02.002


zbMATH Keywords

polynomial approximationuniform approximationmin-max polynomials


Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation in the complex plane (30E10) Approximation by polynomials (41A10)


Related Items

On complex (non-analytic) Chebyshev polynomials in \(\mathbb C^{2}\) ⋮ An explicit class of min-max polynomials on the ball and on the sphere



Cites Work

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  • Tchebycheff polynomials on a triangular region
  • On multivariate polynomials of least deviation from zero on the unit ball
  • Some Chebyshev approximations by polynomials in two variables
  • Some theorems on Cebysev approximation. II
  • Some extremal signatures for polynomials
  • Bivariate Polynomials of Least Deviation from Zero
  • A Unified Approach to Certain Problems of Approximation and Minimization
  • Tchebycheff Approximation in Several Variables
  • Polynomials of least deviation from zero
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