Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 4, Pages 46–49 (Mi vmumm251)  
This article is cited in 6 scientific papers (total in 6 papers)

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The sufficient condition for integrability of a generalized $Q$-integral and points of integrability

M. P. Efimova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (308 kB) Citations (6)
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Abstract: Functions integrable in the sense of generalized $Q$-integral are considered in the paper. The notion of points of integrability is introduced, some properties of such points are studied. Using such sets, a sufficient condition of $Q$-integrability of the sum of two $Q$-integrable functions is obtained.
Key words: Lebesgue integral, generalized $Q$-integral, points of integrability.
Received: 14.05.2014
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 4, Pages 181–184
DOI: https://doi.org/10.3103/S0027132215040051
Bibliographic databases:
Document Type: Article
UDC: 517.518.126
Language: Russian
Citation: M. P. Efimova, “The sufficient condition for integrability of a generalized $Q$-integral and points of integrability”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 4, 46–49; Moscow University Mathematics Bulletin, 70:4 (2015), 181–184
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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