Polynomial approximation on a compact subset of the real line

DOI10.1016/J.JAT.2018.04.003zbMath1392.41003arXiv1712.07054OpenAlexW2964139207WikidataQ129960892 ScholiaQ129960892MaRDI QIDQ1749034

Vladimir V. Andrievskii

Publication date: 15 May 2018

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

Full work available at URL: https://arxiv.org/abs/1712.07054

zbMATH Keywords

Green's functionpolynomial approximationBernstein theoremrate of approximationpiecewise analytic functioncompact subset of the real line

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by polynomials (41A10) Polynomials and rational functions of one complex variable (30C10)

Related Items (2)

Reflections on a theorem of V. Andrievskii ⋮ Bernstein polynomial inequality on a compact subset of the real line

Cites Work

• On the boundary continuity of conformal maps
• Positive harmonic functions on Denjoy domains in the complex plane
• Lipschitz continuity of the Green function in denjoy domains
• Polynomial approximation of piecewise analytic functions on a compact subset of the real line
• Extremal polynomials associated with a system of curves in the complex plane
• A remez-type inequality in terms of capacity
• Metric properties of harmonic measures
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