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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) Russian version article
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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
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”, Math. USSR-Sb., 70:1 (1991), 11–30
Citation in format AMSBIB
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\by P.~L.~Ul'yanov
\paper On~classes of infinitely differentiable functions
\jour Math. USSR-Sb.
\yr 1991
\vol 70
\issue 1
\pages 11--30
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\crossref{https://doi.org/10.1070/SM1991v070n01ABEH001251}
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\zmath{https://zbmath.org/?q=an:0794.42004}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991SbMat..70...11U}
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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
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    		Математический сборник - 1989–1990 Sbornik: Mathematics
     
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