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Mathematics of the USSR-Izvestiya, 1983, Volume 20, Issue 3, Pages 611–624
DOI: https://doi.org/10.1070/IM1983v020n03ABEH001628 (Mi im1629) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Suprema of Fourier coefficients on classes of continuous and differentiable functions of several variables

A. I. Stepanets
English version PDF (527 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM1983v020n03ABEH001628
Abstract: Equalities that are multidimensional analogues of the familiar Lebesgue–Nikol'skii–Efimov relations are obtained for upper bounds of Fourier coefficients on classes of continuous and differentiable functions of several variables.
Bibliography: 6 titles.
Received: 29.05.1981
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1982, Volume 46, Issue 3, Pages 650–665
Bibliographic databases:
UDC: 517.5
MSC: Primary 42B05; Secondary 26A15, 46E10
Language: English
Original paper language: Russian
Citation: A. I. Stepanets, “Suprema of Fourier coefficients on classes of continuous and differentiable functions of several variables”, Izv. Akad. Nauk SSSR Ser. Mat., 46:3 (1982), 650–665; Math. USSR-Izv., 20:3 (1983), 611–624
Citation in format AMSBIB
\Bibitem{Ste82}
\by A.~I.~Stepanets
\paper Suprema of Fourier coefficients on classes of continuous and differentiable functions of several variables
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1982
\vol 46
\issue 3
\pages 650--665
\mathnet{http://mi.mathnet.ru/im1629}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=661149}
\zmath{https://zbmath.org/?q=an:0513.42015}
\transl
\jour Math. USSR-Izv.
\yr 1983
\vol 20
\issue 3
\pages 611--624
\crossref{https://doi.org/10.1070/IM1983v020n03ABEH001628}
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  • https://www.mathnet.ru/eng/im/v46/i3/p650
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:216
    Russian version PDF:72
    English version PDF:3
    References:56
    First page:1
     
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