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Matematicheskie Zametki, 1970, Volume 7, Issue 4, Pages 397–402 (Mi mzm9522)  

This article is cited in 3 scientific papers (total in 4 papers)

Fourier coefficients of functions of class $\mathrm{Lip}\,\alpha$ with respect to complete orthonormalized systems

S. V. Bochkarev

Central Econo-Mathematics Institute, Academy of Sciences of the USSR
Full-text PDF (557 kB) Citations (4)
Abstract: The Bernstein–Szasz theorem concerning trigonometric Fourier coefficients of a function of class $\mathrm{Lip}\,\alpha$ is generalized to apply to arbitrary complete orthonormalized systems.
Received: 10.11.1969
English version:
Mathematical Notes, 1970, Volume 7, Issue 4, Pages 239–242
DOI: https://doi.org/10.1007/BF01151695
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: S. V. Bochkarev, “Fourier coefficients of functions of class $\mathrm{Lip}\,\alpha$ with respect to complete orthonormalized systems”, Mat. Zametki, 7:4 (1970), 397–402; Math. Notes, 7:4 (1970), 239–242
Citation in format AMSBIB
\Bibitem{Boc70}
\by S.~V.~Bochkarev
\paper Fourier coefficients of functions of class $\mathrm{Lip}\,\alpha$ with respect to complete orthonormalized systems
\jour Mat. Zametki
\yr 1970
\vol 7
\issue 4
\pages 397--402
\mathnet{http://mi.mathnet.ru/mzm9522}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=271614}
\zmath{https://zbmath.org/?q=an:0202.35503|0194.37202}
\transl
\jour Math. Notes
\yr 1970
\vol 7
\issue 4
\pages 239--242
\crossref{https://doi.org/10.1007/BF01151695}
Linking options:
  • https://www.mathnet.ru/eng/mzm9522
  • https://www.mathnet.ru/eng/mzm/v7/i4/p397
  • This publication is cited in the following 4 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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    Abstract page:194
    Full-text PDF :72
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