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Sbornik: Mathematics, 1999, Volume 190, Issue 4, Pages 561–568
DOI: https://doi.org/10.1070/sm1999v190n04ABEH000396
(Mi sm396)
 

This article is cited in 2 scientific papers (total in 2 papers)

Widths of certain classes of entire functions

O. G. Parfenov

Pskov State Pedagogical College
References:
Abstract: The asymptotic behaviour of widths of classes of entire functions in the uniform metric on a compact set is studied. A logarithmic asymptotic formula is obtained which contains not only the natural parameters defining the growth at infinity of functions in the class under consideration, but also the capacity of the compact set. Under certain additional conditions a weak asymptotic formula is obtained. An example of the calculation of the strong asymptotics is presented.
Received: 03.06.1997
Bibliographic databases:
UDC: 517.51
MSC: Primary 41A46; Secondary 46E15, 30D15
Language: English
Original paper language: Russian
Citation: O. G. Parfenov, “Widths of certain classes of entire functions”, Sb. Math., 190:4 (1999), 561–568
Citation in format AMSBIB
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\by O.~G.~Parfenov
\paper Widths of certain classes of entire functions
\jour Sb. Math.
\yr 1999
\vol 190
\issue 4
\pages 561--568
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\crossref{https://doi.org/10.1070/sm1999v190n04ABEH000396}
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Linking options:
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  • https://doi.org/10.1070/sm1999v190n04ABEH000396
  • https://www.mathnet.ru/eng/sm/v190/i4/p87
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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