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Trudy Matematicheskogo Instituta im. V. A. Steklova, 1975, Volume 134, Pages 310–313 (Mi tm2720)  
This article is cited in 8 scientific papers (total in 8 papers)

Convergence in the L metric of Fourier series with quasimonotone coefficients

S. A. Telyakovskii, G. A. Fomin
Full-text PDF (345 kB) Citations (8)
Bibliographic databases:
Document Type: Article
UDC: 517.52
Language: Russian
Citation: S. A. Telyakovskii, G. A. Fomin, “Convergence in the L metric of Fourier series with quasimonotone coefficients”, Theory of functions and its applications, A collection of articles dedicated to Academician Sergei Mihailovic Nikol'skii on the occasion of his seventieth birthday, Trudy Mat. Inst. Steklov., 134, 1975, 310–313; Proc. Steklov Inst. Math., 134 (1977), 351–355
Citation in format AMSBIB
\Bibitem{TelFom75}
\by S.~A.~Telyakovskii, G.~A.~Fomin
\paper Convergence in the $L$~metric of Fourier series with quasimonotone coefficients
\inbook Theory of functions and its applications
\bookinfo A~collection of articles dedicated to Academician Sergei Mihailovic Nikol'skii on the occasion of his seventieth birthday
\serial Trudy Mat. Inst. Steklov.
\yr 1975
\vol 134
\pages 310--313
\mathnet{http://mi.mathnet.ru/tm2720}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0394013}
\zmath{https://zbmath.org/?q=an:0374.42005|0329.42005}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1977
\vol 134
\pages 351--355
Linking options:
  • https://www.mathnet.ru/eng/tm2720
  • https://www.mathnet.ru/eng/tm/v134/p310
    • This publication is cited in the following 8 articles:
    1. A. S. Belov, “On unimprovability of some theorems on convergence in mean of trigonometric series”, J. Math. Sci., 250:3 (2020), 404–418  mathnet  crossref
    2. A. Yu. Popov, A. P. Solodov, “The negative parts of the sums of sine series with quasimonotonic coefficients”, Sb. Math., 208:6 (2017), 878–901  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. S. A. Telyakovskii, “On the Rate of Convergence in L of Fourier Sine Series with Monotone Coefficients”, Math. Notes, 100:3 (2016), 472–476  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    4. Tikhonov S., “On L–1–convergence of Fourier series”, Journal of Mathematical Analysis and Applications, 347:2 (2008), 416–427  crossref  isi
    5. Dyachenko M., Tikhonov S., “Convergence of trigonometric series with general monotone coefficients”, Comptes Rendus Mathematique, 345:3 (2007), 123–126  crossref  isi
    6. Tikhonov S., “Trigonometric series with general monotone coefficients”, Journal of Mathematical Analysis and Applications, 326:1 (2007), 721–735  crossref  isi
    7. A. S. Belov, “Remarks on Mean Convergence (Boundedness) of Partial Sums of Trigonometric Series”, Math. Notes, 71:6 (2002), 739–748  mathnet  crossref  crossref  mathscinet  zmath  isi
    8. G. A. Fomin, “On convergence in the mean of Fourier series”, Math. USSR-Sb., 38:2 (1981), 231–244  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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