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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 254, Pages 235–243 (Mi znsl926)  
Constructive descriptions of classes of functions with the help of polynomial approximations. II

N. A. Shirokov

Saint-Petersburg State Electrotechnical University
Full-text PDF (187 kB)
Abstract: The Hölder classes of functions analytic in a domain $D$ are considered. In the case where $D$ has bounded boundary rotation and no zero exterior angles, a collection of polynomial approximations describing these classes of functions is constructed, which is economical in a certain sense.
Received: 25.02.1998
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 105, Issue 4, Pages 2292–2298
DOI: https://doi.org/10.1023/A:1011345612221
Bibliographic databases:
UDC: 539.12
Language: Russian
Citation: N. A. Shirokov, “Constructive descriptions of classes of functions with the help of polynomial approximations. II”, Analytical theory of numbers and theory of functions. Part 15, Zap. Nauchn. Sem. POMI, 254, POMI, St. Petersburg, 1998, 235–243; J. Math. Sci. (New York), 105:4 (2001), 2292–2298
Citation in format AMSBIB
\Bibitem{Shi98}
\by N.~A.~Shirokov
\paper Constructive descriptions of classes of functions with the help of polynomial approximations.~II
\inbook Analytical theory of numbers and theory of functions. Part~15
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 254
\pages 235--243
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl926}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1691405}
\zmath{https://zbmath.org/?q=an:0982.30016}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 105
\issue 4
\pages 2292--2298
\crossref{https://doi.org/10.1023/A:1011345612221}
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