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Mathematics of the USSR-Sbornik, 1991, Volume 70, Issue 1, Pages 11–30
DOI: https://doi.org/10.1070/SM1991v070n01ABEH001251 (Mi sm1191) 		 
This article is cited in 10 scientific papers (total in 11 papers)

On classes of infinitely differentiable functions

P. L. Ul'yanov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (661 kB) Citations (11)
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DOI: https://doi.org/10.1070/SM1991v070n01ABEH001251
Abstract: Sharp estimates are established for the relationships among the rate of growth of the derivatives of an infinitely-differentiable periodic function, the behavior of its Fourier coefficients, and the trigonometric polynomials of best approximation to it.
Received: 23.11.1989
Russian version:
Matematicheskii Sbornik, 1990, Volume 181, Number 5, Pages 589–609
Bibliographic databases:
UDC: 517.5
MSC: Primary 42A10, 42A16; Secondary 42A05, 41A17
Language: English
Original paper language: Russian
Citation: P. L. Ul'yanov, “On classes of infinitely differentiable functions”, Mat. Sb., 181:5 (1990), 589–609; Math. USSR-Sb., 70:1 (1991), 11–30
Citation in format AMSBIB
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\paper On~classes of infinitely differentiable functions
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\yr 1990
\vol 181
\issue 5
\pages 589--609
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\transl
\jour Math. USSR-Sb.
\yr 1991
\vol 70
\issue 1
\pages 11--30
\crossref{https://doi.org/10.1070/SM1991v070n01ABEH001251}
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  • https://doi.org/10.1070/SM1991v070n01ABEH001251
  • https://www.mathnet.ru/eng/sm/v181/i5/p589
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1989–1990 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:563
    Russian version PDF:718
    English version PDF:21
    References:71
    First page:2
     
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