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Mathematics of the USSR-Sbornik, 1973, Volume 19, Issue 1, Pages 157–163
DOI: https://doi.org/10.1070/SM1973v019n01ABEH001742 (Mi sm3002) 		 
On rational approximation of analytic functions

P. G. Boyadzhiev
English version PDF (343 kB) Russian version article
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DOI: https://doi.org/10.1070/SM1973v019n01ABEH001742
Abstract: Let $E$ be a regular compact set, and $D$ an arbitrary domain containing $E$. A constructive characterization is given of the class of functions analytic in $D$, using best approximation on $E$ by rational functions with a specially chosen sequence of poles.
Bibliography: 4 titles.
Received: 12.04.1972
Bibliographic databases:
UDC: 517.53
MSC: 30A82
Language: English
Original paper language: Russian
Citation: P. G. Boyadzhiev, “On rational approximation of analytic functions”, Math. USSR-Sb., 19:1 (1973), 157–163
Citation in format AMSBIB
\Bibitem{Boy73}
\by P.~G.~Boyadzhiev
\paper On rational approximation of analytic functions
\jour Math. USSR-Sb.
\yr 1973
\vol 19
\issue 1
\pages 157--163
\mathnet{http://mi.mathnet.ru//eng/sm3002}
\crossref{https://doi.org/10.1070/SM1973v019n01ABEH001742}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1057950}
\zmath{https://zbmath.org/?q=an:0251.30041}
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