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Matematicheskie Zametki, 1969, Volume 6, Issue 1, Pages 35–46 (Mi mzm6895)  
This article is cited in 1 scientific paper (total in 1 paper)

Approximation of differentiable functions by Fourier–Hermite sums

V. A. Abilov, S. A. Agahanov

Daghestan State University
Full-text PDF (563 kB) Citations (1)
Abstract: An asymptotic formula is derived for the divergence of Fourier–Hermite sums from the functions giving rise to them, for functions $f(x)$ whose $r$-th derivatives have a modulus of continuity not exceeding a given majorizing modulus of continuity.
Received: 27.03.1969
English version:
Mathematical Notes, 1969, Volume 6, Issue 1, Pages 479–486
DOI: https://doi.org/10.1007/BF01450250
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. A. Abilov, S. A. Agahanov, “Approximation of differentiable functions by Fourier–Hermite sums”, Mat. Zametki, 6:1 (1969), 35–46; Math. Notes, 6:1 (1969), 479–486
Citation in format AMSBIB
\Bibitem{AbiAga69}
\by V.~A.~Abilov, S.~A.~Agahanov
\paper Approximation of differentiable functions by Fourier--Hermite sums
\jour Mat. Zametki
\yr 1969
\vol 6
\issue 1
\pages 35--46
\mathnet{http://mi.mathnet.ru/mzm6895}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=261251}
\zmath{https://zbmath.org/?q=an:0189.07801}
\transl
\jour Math. Notes
\yr 1969
\vol 6
\issue 1
\pages 479--486
\crossref{https://doi.org/10.1007/BF01450250}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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