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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
English version PDF (305 kB) Citations (2)
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DOI: https://doi.org/10.1070/sm1999v190n04ABEH000396
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
Russian version:
Matematicheskii Sbornik, 1999, Volume 190, Number 4, Pages 87–94
DOI: https://doi.org/10.4213/sm396
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”, Mat. Sb., 190:4 (1999), 87–94; Sb. Math., 190:4 (1999), 561–568
Citation in format AMSBIB
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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
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    Russian version PDF:226
    English version PDF:15
    References:74
    First page:1
     
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