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Sibirskii Zhurnal Vychislitel'noi Matematiki, 1999, Volume 2, Number 4, Pages 385–394 (Mi sjvm349)  
This article is cited in 13 scientific papers (total in 13 papers)

On representation of piecewise-smooth functions by rapidly convergent trigonometric series

V. V. Smelov

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (540 kB) Citations (13)
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Abstract: A specific variant of expansions of smooth and piecewise-smooth functions to rapidly convergent series with respect to trigonometric functions is suggested. This result is the basis for the effective approximations of the above-mentioned functions.
Received: 30.03.1999
Revised: 27.05.1999
Bibliographic databases:
Document Type: Article
UDC: 518.12+519.34
Language: Russian
Citation: V. V. Smelov, “On representation of piecewise-smooth functions by rapidly convergent trigonometric series”, Sib. Zh. Vychisl. Mat., 2:4 (1999), 385–394
Citation in format AMSBIB
\Bibitem{Sme99}
\by V.~V.~Smelov
\paper On representation of piecewise-smooth functions by rapidly convergent trigonometric series
\jour Sib. Zh. Vychisl. Mat.
\yr 1999
\vol 2
\issue 4
\pages 385--394
\mathnet{http://mi.mathnet.ru/sjvm349}
\zmath{https://zbmath.org/?q=an:0939.42001}
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  • https://www.mathnet.ru/eng/sjvm/v2/i4/p385
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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