Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2021, Number 2, Pages 32–35 (Mi vmumm4389)  
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Influence of the choice of the class of gauge functions on the properties of the Henstock–Kurzweil integral

S. N. Kopylov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: Properties of the Henstock–Kurzweil integral are considered with a gauge under imposed restrictions. A proof of the assertion on interrelations between classes of integrable functions and classes of gauges is presented for several particular cases.
Key words: real analysis, theory of integration, gauge integral.
Funding agency Grant number
Lomonosov Moscow State University
Received: 01.11.2019
English version:
Moscow University Mathematics Bulletin, 2021, Volume 76, Issue 2, Pages 65–68
DOI: https://doi.org/10.3103/S0027132221020054
Bibliographic databases:
Document Type: Article
UDC: 517.518.126
Language: Russian
Citation: S. N. Kopylov, “Influence of the choice of the class of gauge functions on the properties of the Henstock–Kurzweil integral”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 2, 32–35; Moscow University Mathematics Bulletin, 76:2 (2021), 65–68
Citation in format AMSBIB
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    Full-text PDF :11
    References:20
    First page:8
     
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