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Izvestiya: Mathematics, 2012, Volume 76, Issue 2, Pages 419–429
DOI: https://doi.org/10.1070/IM2012v076n02ABEH002589 (Mi im4568) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Absolute convergence of Fourier series of functions of class $\operatorname{Lip}1$ and of functions of bounded variation

V. Sh. Tsagareishvili

Tbilisi Ivane Javakhishvili State University
English version PDF (227 kB) Citations (20)
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DOI: https://doi.org/10.1070/IM2012v076n02ABEH002589
Abstract: We study problems of the absolute convergence of Fourier series with respect to general orthonormal systems for functions in certain classes.
Keywords: Fourier series, Fourier coefficients, function of bounded variation, orthonormal system.
Received: 30.04.2010
Revised: 20.07.2011
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2012, Volume 76, Issue 2, Pages 215–224
DOI: https://doi.org/10.4213/im4568
Bibliographic databases:
Document Type: Article
UDC: 517.521
MSC: Primary 42A20; Secondary 42A16
Language: English
Original paper language: Russian
Citation: V. Sh. Tsagareishvili, “Absolute convergence of Fourier series of functions of class $\operatorname{Lip}1$ and of functions of bounded variation”, Izv. RAN. Ser. Mat., 76:2 (2012), 215–224; Izv. Math., 76:2 (2012), 419–429
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2012v076n02ABEH002589
  • https://www.mathnet.ru/eng/im/v76/i2/p215
    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:593
    Russian version PDF:222
    English version PDF:11
    References:69
    First page:40
     
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