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Mathematics of the USSR-Izvestiya, 1986, Volume 27, Issue 2, Pages 285–322
DOI: https://doi.org/10.1070/IM1986v027n02ABEH001179 (Mi im1375) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Approximation of periodic functions of several variables by trigonometric polynomials, and widths of some classes of functions

V. N. Temlyakov
English version PDF (1502 kB) Citations (19)
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DOI: https://doi.org/10.1070/IM1986v027n02ABEH001179
Abstract: The author investigates questions of the approximation of functions of several variables with a bounded mixed derivative or difference. He finds the orders of the Kolmogorov widths and of other widths of these classes. He obtains embedding theorems and estimates for the best approximations by trigonometric polynomials to functions in these classes.
Bibliography: 32 titles.
Received: 10.10.1983
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1985, Volume 49, Issue 5, Pages 986–1030
Bibliographic databases:
UDC: 517.5
MSC: 42B99, 42A10, 41A46, 41A63
Language: English
Original paper language: Russian
Citation: V. N. Temlyakov, “Approximation of periodic functions of several variables by trigonometric polynomials, and widths of some classes of functions”, Izv. Akad. Nauk SSSR Ser. Mat., 49:5 (1985), 986–1030; Math. USSR-Izv., 27:2 (1986), 285–322
Citation in format AMSBIB
\Bibitem{Tem85}
\by V.~N.~Temlyakov
\paper Approximation of periodic functions of several variables by trigonometric polynomials, and widths of some classes of functions
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1985
\vol 49
\issue 5
\pages 986--1030
\mathnet{http://mi.mathnet.ru/im1375}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=810528}
\zmath{https://zbmath.org/?q=an:0608.42005}
\transl
\jour Math. USSR-Izv.
\yr 1986
\vol 27
\issue 2
\pages 285--322
\crossref{https://doi.org/10.1070/IM1986v027n02ABEH001179}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:681
    Russian version PDF:232
    English version PDF:53
    References:68
    First page:2
     
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