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Matematicheskie Zametki, 2011, Volume 90, Issue 3, Pages 340–350
DOI: https://doi.org/10.4213/mzm9222
(Mi mzm9222)
 

This article is cited in 12 scientific papers (total in 12 papers)

On the Properties of the $Q$-Integral

M. P. Efimova

M. V. Lomonosov Moscow State University
References:
Abstract: We study the Titchmarsh $Q$-integral, its generalization, and its elementary properties are studied; integrability criteria on sets of finite measure are obtained.
Keywords: $Q$-integral, $A$-integral, integrability criterion, Kurzweil–Henstock integral, Lebesgue criterion, Fourier series, conjugate trigonometric series.
Received: 08.07.2010
Revised: 14.10.2010
English version:
Mathematical Notes, 2011, Volume 90, Issue 3, Pages 322–332
DOI: https://doi.org/10.1134/S0001434611090021
Bibliographic databases:
Document Type: Article
UDC: 517.518.126
Language: Russian
Citation: M. P. Efimova, “On the Properties of the $Q$-Integral”, Mat. Zametki, 90:3 (2011), 340–350; Math. Notes, 90:3 (2011), 322–332
Citation in format AMSBIB
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\paper On the Properties of the $Q$-Integral
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\pages 340--350
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\jour Math. Notes
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\pages 322--332
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80155213613}
Linking options:
  • https://www.mathnet.ru/eng/mzm9222
  • https://doi.org/10.4213/mzm9222
  • https://www.mathnet.ru/eng/mzm/v90/i3/p340
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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