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Matematicheskie Zametki, 1972, Volume 12, Issue 2, Pages 139–148 (Mi mzm9860)  
This article is cited in 8 scientific papers (total in 8 papers)

A connection between inclusion theorems and the uniform convergence of multiple Fourier series

N. Temirgaliev

V. A. Steklov Mathematical Institute of the Academy of Sciences of the USSR
Full-text PDF (822 kB) Citations (8)
Abstract: A relation is established between inclusion theorems and the uniform convergence of Fourier series for the case of functions of many variables. The one-dimensional case has already been analyzed by Ul'yanov.
Received: 24.06.1971
English version:
Mathematical Notes, 1972, Volume 12, Issue 2, Pages 518–523
DOI: https://doi.org/10.1007/BF01095009
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: N. Temirgaliev, “A connection between inclusion theorems and the uniform convergence of multiple Fourier series”, Mat. Zametki, 12:2 (1972), 139–148; Math. Notes, 12:2 (1972), 518–523
Citation in format AMSBIB
\Bibitem{Tem72}
\by N.~Temirgaliev
\paper A connection between inclusion theorems and the uniform convergence of multiple Fourier series
\jour Mat. Zametki
\yr 1972
\vol 12
\issue 2
\pages 139--148
\mathnet{http://mi.mathnet.ru/mzm9860}
\zmath{https://zbmath.org/?q=an:0246.42015}
\transl
\jour Math. Notes
\yr 1972
\vol 12
\issue 2
\pages 518--523
\crossref{https://doi.org/10.1007/BF01095009}
Linking options:
  • https://www.mathnet.ru/eng/mzm9860
  • https://www.mathnet.ru/eng/mzm/v12/i2/p139
    • This publication is cited in the following 8 articles:
    1. N. A. Ilyasov, “Mnogomernaya versiya neravenstva tipa Turana i ego prilozhenie k otsenke ravnomernykh modulei gladkosti periodicheskikh funktsii”, Tr. IMM UrO RAN, 25, no. 2, 2019, 102–115  mathnet  crossref  elib
    2. N. A. Ilyasov, “O poryadke ravnomernoi skhodimosti chastnykh kubicheskikh summ kratnykh trigonometricheskikh ryadov Fure na klassakh funktsii $H_{1,m}^{l}[\omega]$”, Tr. IMM UrO RAN, 21, no. 4, 2015, 161–177  mathnet  mathscinet  elib
    3. A. Dymov, “Nonequilibrium statistical mechanics of Hamiltonian rotators with alternated spins”, J. Stat. Phys., 158:4 (2015), 968–1006  mathnet  crossref  isi  scopus
    4. N. A. Il'yasov, “On the Order of Decrease of Uniform Moduli of Smoothness for the Classes of Functions $E_{p,m}[\epsilon]$”, Math. Notes, 78:4 (2005), 481–497  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    5. A. M. Stokolos, “Differentiation of integrals by bases without the density property”, Sb. Math., 187:7 (1996), 1061–1085  mathnet  crossref  crossref  mathscinet  zmath  isi
    6. V. I. Kolyada, “Rearrangements of functions and embedding theorems”, Russian Math. Surveys, 44:5 (1989), 73–117  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    7. V. I. Kolyada, “On the essential continuity of summable functions”, Math. USSR-Sb., 36:3 (1980), 301–322  mathnet  crossref  mathscinet  zmath  isi
    8. V. I. Kolyada, “On embedding in classes of continuous functions of several variables”, Math. USSR-Sb., 28:3 (1976), 377–388  mathnet  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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