Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 3, Pages 47–51 (Mi vmumm497)  
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Uniform approximation by polynomials on compacta of special form

I. V. Beloshapka

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A lower estimate of the least deviations is obtained and polynomials of the best uniform approximation are found for some functions given on compact sets of the complex plane containing full preimages $Q^{-1}(v_{j})$ of several points $v_{j}\in\mathbb{C}$ for some polynomial $Q(z)$ of a complex variable.
Key words: uniform approximation by polynomials, full preimages.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00952а
Received: 15.04.2011
English version:
Moscow University Mathematics Bulletin, 2012, Volume 67, Issue 3, Pages 121–124
DOI: https://doi.org/10.3103/S0027132212030072
Bibliographic databases:
Document Type: Article
UDC: 517.538.5
Language: Russian
Citation: I. V. Beloshapka, “Uniform approximation by polynomials on compacta of special form”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 3, 47–51; Moscow University Mathematics Bulletin, 67:3 (2012), 121–124
Citation in format AMSBIB
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\paper Uniform approximation by polynomials on compacta of special form
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 3
\pages 47--51
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2012
\vol 67
\issue 3
\pages 121--124
\crossref{https://doi.org/10.3103/S0027132212030072}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84864807824}
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