``Near-best polynomial approximation of harmonic functions on compact sets in \(\mathbb{C}\)

DOI10.1016/J.JAT.2021.105643zbMath1486.41003OpenAlexW3196281258MaRDI QIDQ2054273

Liudmyla Kryvonos

Publication date: 1 December 2021

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

Full work available at URL: https://doi.org/10.1016/j.jat.2021.105643

zbMATH Keywords

polynomial approximationJohn domainsnear-best approximation

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by polynomials (41A10)

Related Items (1)

Extended best \(L^p\)-approximation is near-best approximation in \(L^q, p - 1 \leq q < p\)

Cites Work

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• Polynomial approximation on the boundary and strictly inside
• An extended Faber operator
• Simultaneous approximation and interpolation of functions on continua in the complex plane.
• Degree of approximation of analytic functions by ``near-best polynomial approximants
• Approximation of harmonic functions on compact sets in \(\mathbb{C}\)
• Maximal convergence of sequences of harmonic polynomials
• Behavior of Polynomials of Best Uniform Approximation

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