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Matematicheskie Zametki, 2016, Volume 99, Issue 1, Pages 35–41
DOI: https://doi.org/10.4213/mzm10689 (Mi mzm10689) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Determination of the Jump of a Function of Generalized Bounded Variation from the Derivatives of the Partial Sums of Its Fourier Series

A. A. Kelzon

Admiral Makarov State University of Maritime and Inland Shipping
Full-text PDF (437 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm10689
Abstract: It is established that the formulas determining the jump of a periodic function from the derivatives of the partial sums of its Fourier series and valid for functions of harmonic bounded variation (the HBV class) possibly will not hold for functions of $\Phi$-bounded variation (in the sense of Schramm) if this class is wider than the HBV class.
Keywords: jump of a periodic function, function of harmonic bounded variation, function of $\Phi$-bounded variation, partial sum, Fourier series.
Received: 16.02.2015
Revised: 20.06.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 1, Pages 46–51
DOI: https://doi.org/10.1134/S0001434616010053
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: A. A. Kelzon, “Determination of the Jump of a Function of Generalized Bounded Variation from the Derivatives of the Partial Sums of Its Fourier Series”, Mat. Zametki, 99:1 (2016), 35–41; Math. Notes, 99:1 (2016), 46–51
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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