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Mathematics of the USSR-Izvestiya, 1974, Volume 8, Issue 6, Pages 1372–1386
DOI: https://doi.org/10.1070/IM1974v008n06ABEH002152 (Mi im2018) 		 
This article is cited in 10 scientific papers (total in 10 papers)

An estimate of the rate of approximation of a continuous function and its conjugate by Fourier sums on a set of total measure

K. I. Oskolkov
English version PDF (522 kB) Citations (10)
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DOI: https://doi.org/10.1070/IM1974v008n06ABEH002152
Abstract: In this paper, estimates of the rate of convergence almost everywhere of the Fourier series of a continuous function and its conjugate are obtained. These estimates, expressed in terms of its best approximation functions and its modulus of continuity, cannot be strengthened in a number of cases.
Received: 22.06.1973
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1974, Volume 38, Issue 6, Pages 1393–1407
Bibliographic databases:
UDC: 517.512
MSC: Primary 41A25, 42A08, 42A20; Secondary 41A50
Language: English
Original paper language: Russian
Citation: K. I. Oskolkov, “An estimate of the rate of approximation of a continuous function and its conjugate by Fourier sums on a set of total measure”, Izv. Akad. Nauk SSSR Ser. Mat., 38:6 (1974), 1393–1407; Math. USSR-Izv., 8:6 (1974), 1372–1386
Citation in format AMSBIB
\Bibitem{Osk74}
\by K.~I.~Oskolkov
\paper An estimate of the rate of approximation of a~continuous function and its conjugate by Fourier sums on a~set of total measure
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1974
\vol 38
\issue 6
\pages 1393--1407
\mathnet{http://mi.mathnet.ru/im2018}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=358198}
\zmath{https://zbmath.org/?q=an:0307.42002}
\transl
\jour Math. USSR-Izv.
\yr 1974
\vol 8
\issue 6
\pages 1372--1386
\crossref{https://doi.org/10.1070/IM1974v008n06ABEH002152}
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  • https://www.mathnet.ru/eng/im/v38/i6/p1393
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:475
    Russian version PDF:187
    English version PDF:19
    References:71
    First page:2
     
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