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Polynomial approximation on the boundary and strictly inside

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Publication:1330852
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DOI10.1007/BF01263060zbMath0804.41007MaRDI QIDQ1330852

Vilmos Totik, Nikolai Shirokov

Publication date: 10 August 1994

Published in: Constructive Approximation (Search for Journal in Brave)


zbMATH Keywords

rate of approximation


Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)


Related Items (6)

Degree of approximation of analytic functions by ``near-best polynomial approximants ⋮ On the convergence of the Bieberbach polynomials inside the domain: Research problems 97-1 ⋮ ``Near-best polynomial approximation of harmonic functions on compact sets in \(\mathbb{C}\) ⋮ Extended best \(L^p\)-approximation is near-best approximation in \(L^q, p - 1 \leq q < p\) ⋮ Polynomial approximation of piecewise analytic functions on quasi-smooth arcs ⋮ Simultaneous approximation and interpolation of functions on continua in the complex plane.



Cites Work

  • Unnamed Item
  • Behavior of Polynomials of Best Uniform Approximation


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