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Matematicheskie Zametki, 1977, Volume 22, Issue 2, Pages 285–295 (Mi mzm8049)  

This article is cited in 33 scientific papers (total in 33 papers)

Diameters of certain classes of analytic functions

L. V. Taikov

Moscow Institute of Forestry Engineering
Abstract: Exact values have been found, for the diameters in the sense of Kolmogorov of certain classes of functions with a Hardy metric, analytic in the unit circle, whose boundary values admit of a representation by a convolution or the averaged modulus of smoothness of their boundary values is majorized by a given function. In passing, certain extremal properties of trigonometric polynomials are established.
Received: 06.02.1976
English version:
Mathematical Notes, 1977, Volume 22, Issue 2, Pages 650–656
DOI: https://doi.org/10.1007/BF01780976
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: L. V. Taikov, “Diameters of certain classes of analytic functions”, Mat. Zametki, 22:2 (1977), 285–295; Math. Notes, 22:2 (1977), 650–656
Citation in format AMSBIB
\Bibitem{Tai77}
\by L.~V.~Taikov
\paper Diameters of certain classes of analytic functions
\jour Mat. Zametki
\yr 1977
\vol 22
\issue 2
\pages 285--295
\mathnet{http://mi.mathnet.ru/mzm8049}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=466567}
\zmath{https://zbmath.org/?q=an:0382.30026}
\transl
\jour Math. Notes
\yr 1977
\vol 22
\issue 2
\pages 650--656
\crossref{https://doi.org/10.1007/BF01780976}
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  • https://www.mathnet.ru/eng/mzm/v22/i2/p285
  • This publication is cited in the following 33 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Математические заметки Mathematical Notes
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