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Sbornik: Mathematics, 1995, Volume 186, Issue 9, Pages 1325–1340
DOI: https://doi.org/10.1070/SM1995v186n09ABEH000070 (Mi sm70) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Some new criteria for uniform approximability of functions by rational fractions

P. V. Paramonov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (593 kB) Citations (20) Russian version article
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DOI: https://doi.org/10.1070/SM1995v186n09ABEH000070
Abstract: In this paper Vitushkin's localization scheme for uniform rational approximation of functions is further improved. Using this result new criteria for the approximability of functions by rational fractions in the uniform and Holder metrics on compact subsets of $\mathbb C$ are obtained.
Received: 08.12.1994
Bibliographic databases:
UDC: 517.5
MSC: 30E10
Language: English
Original paper language: Russian
Citation: P. V. Paramonov, “Some new criteria for uniform approximability of functions by rational fractions”, Sb. Math., 186:9 (1995), 1325–1340
Citation in format AMSBIB
\Bibitem{Par95}
\by P.~V.~Paramonov
\paper Some new criteria for uniform approximability of functions by rational fractions
\jour Sb. Math.
\yr 1995
\vol 186
\issue 9
\pages 1325--1340
\mathnet{http://mi.mathnet.ru//eng/sm70}
\crossref{https://doi.org/10.1070/SM1995v186n09ABEH000070}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1360189}
\zmath{https://zbmath.org/?q=an:0947.41011}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TX11300006}
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  • https://www.mathnet.ru/eng/sm/v186/i9/p97
    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:325
    Russian version PDF:95
    English version PDF:31
    References:48
    First page:1
     
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