Polynomial approximation of analytic functions on a finite number of continua in the complex plane
type: Item
instance of: scholarly article
title: Polynomial approximation of analytic functions on a finite number of continua in the complex plane
zbMATH Open document ID: 1085.30034
published in: Journal of Approximation Theory
publication date: 2005-04-21T00:00:00Z
review text: The author generalizes a theorem of Dzyadyk on polynomial approximation on a continuum in the complex plane to the case of compact sets that consist of finitely many continua.
reviewed by: Vladimir V. Peller
Mathematics Subject Classification ID: 30E10
Mathematics Subject Classification ID: 41A10
zbMATH DE Number: 2160165
zbMATH Keywords: polynomial
zbMATH Keywords: approximation
zbMATH Keywords: interpolation
author: V. V. Andrievskii
MaRDI profile type: Publication
full work available at URL: j.jat.2004.12.016
OpenAlex ID: W2056151952
cites work: Q3700002
cites work: Q4206974
cites work: The Nikol'skii-Timan-Dzjadyk theorem for functions on compact sets of the real line
cites work: Conformal invariants in constructive theory of functions of complex variable. Transl. from the Russian by D. N. Kravchuk
cites work: Simultaneous approximation and interpolation of functions on continua in the complex plane.
cites work: On the theory of approximation of functions on closed sets of the complex plane (with reference to a problem of S. M. Nikol'skii)
cites work: Q4139002
cites work: Q5685358
cites work: Q4500910
cites work: Q4743061
cites work: On normal and automorphic functions
cites work: APPROXIMATION OF MONOTONE FUNCTIONS BY MONOTONE POLYNOMIALS
cites work: Q4851370
cites work: Q3842454
cites work: Q4120973
DOI: 10.1016/J.JAT.2004.12.016
description: scientific article; zbMATH DE number 2160165