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Doklady Akademii Nauk SSSR, 1958, Volume 121, Number 3, Pages 426–429 (Mi dan23281)  
This article is cited in 6 scientific papers (total in 6 papers)

MATHEMATICS

Approximation of differentiable functions by de la Vallée Poussin's sums

S. A. Telyakovskii

V. A. Steklov Mathematical Institute, USSR Academy of Sciences
Full-text PDF (338 kB) Citations (6)
Presented: N. N. Bogolyubov
Received: 26.03.1958
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. A. Telyakovskii, “Approximation of differentiable functions by de la Vallée Poussin's sums”, Dokl. Akad. Nauk SSSR, 121:3 (1958), 426–429
Citation in format AMSBIB
\Bibitem{Tel58}
\by S.~A.~Telyakovskii
\paper Approximation of differentiable functions by de la Vall\'ee Poussin's sums
\jour Dokl. Akad. Nauk SSSR
\yr 1958
\vol 121
\issue 3
\pages 426--429
\mathnet{http://mi.mathnet.ru/dan23281}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0100199}
\zmath{https://zbmath.org/?q=an:0085.28003}
Linking options:
  • https://www.mathnet.ru/eng/dan23281
  • https://www.mathnet.ru/eng/dan/v121/i3/p426
    • This publication is cited in the following 6 articles:
    1. P. G. Potseiko, “O ratsionalnykh approksimatsiyakh sopryazhennoi funktsii na otrezke sopryazhennymi summami Valle Pussena”, PFMT, 2024, no. 3(60), 59–70  mathnet  crossref
    2. P. G. Potseiko, Y. A. Rovba, “The de la Vallée Poussin sums of Fourier–Chebyshev rational integral operators and approximations to Poisson integrals on the segment”, Siberian Math. J., 64:1 (2023), 137–156  mathnet  crossref  crossref  mathscinet
    3. P. G. Potseiko, Y. A. Rovba, “Vallee Poussin sums of rational Fourier–Chebyshev integral operators and approximations of the Markov function”, St. Petersburg Math. J., 35:5 (2024), 879–896  mathnet  crossref
    4. L. K. Dodunova, A. A. Ageikin, “Approximation of analytic functions by universal Vallee-Poussin sums on the Chebyshev polynomials”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 24 (2018), 12–23  mathnet  crossref
    5. M. G. Magomed-Kasumov, “Approximation Properties of de la Vallée-Poussin Means for Piecewise Smooth Functions”, Math. Notes, 100:2 (2016), 229–244  mathnet  crossref  crossref  mathscinet  isi  elib
    6. L. P. Falaleev, “Approximation of conjugate functions by generalized Abel–Poisson operators”, Math. Notes, 67:4 (2000), 505–511  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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