On theorems of Jackson and Bernstein type in the complex plane

DOI10.1007/BF02075464zbMath0639.30032OpenAlexW2004226935MaRDI QIDQ1100311

Aimo Hinkkanen, J. Milne Anderson, F. D. Lesley

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf02075464

zbMATH Keywords

Jackson's theoremBernstein's theoremsconformal mapping of strip domains

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Polynomials and rational functions of one complex variable (30C10)

Related Items (4)

Jackson's inequality in the complex plane and the Łojasiewicz-Siciak inequality of Green's function ⋮ Polynomial approximation on compact sets bounded by Dini-smooth arcs ⋮ Harmonic version of Jackson's theorem in the complex plane ⋮ Holomorphic Jackson's theorems in polydiscs

Cites Work

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• Isomorphisms of the disc algebra and inverse Faber sets
• Best approximation on smooth arcs
• On the order of polynomial approximation for closed Jordan domains
• Domains with Lipschitz mapping functions
• Conformal Mappings of Domains Satisfying a Wedge Condition
• THE GEOMETRIC STRUCTURE OF REGIONS, AND DIRECT THEOREMS OF THE CONSTRUCTIVE THEORY OF FUNCTIONS
• CONFORMAL MAPPINGS AND THE APPROXIMATION OF ANALYTIC FUNCTIONS IN DOMAINS WITH A QUASICONFORMAL BOUNDARY
• INVERSE APPROXIMATION THEOREMS ON REGULAR COMPACTA OF THE COMPLEX PLANE
• On Conformal Mapping of Infinite Strips

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