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Fundamentalnaya i Prikladnaya Matematika, 2004, Volume 10, Issue 3, Pages 73–83 (Mi fpm780)  
This article is cited in 7 scientific papers (total in 7 papers)

A new characterization of Riemann-integrable functions

V. K. Zakharov, A. A. Seredinskii

M. V. Lomonosov Moscow State University
Full-text PDF (158 kB) Citations (7)
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Abstract: In this paper, we describe Riemann-integrable functions with the help of a new class of uniform functions. This description allows us to uncover the “countable” nature of the relation between the space of Riemann-integrable functions and the space of continuous functions. The argumentation is performed for any given topological space $T$ with limited Radon measure $\mu$ the support of which coincides with $T$.
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 139, Issue 4, Pages 6708–6714
DOI: https://doi.org/10.1007/s10958-006-0385-2
Bibliographic databases:
UDC: 517.518.121+517.987.1+517.518.2
Language: Russian
Citation: V. K. Zakharov, A. A. Seredinskii, “A new characterization of Riemann-integrable functions”, Fundam. Prikl. Mat., 10:3 (2004), 73–83; J. Math. Sci., 139:4 (2006), 6708–6714
Citation in format AMSBIB
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\by V.~K.~Zakharov, A.~A.~Seredinskii
\paper A~new characterization of Riemann-integrable functions
\jour Fundam. Prikl. Mat.
\yr 2004
\vol 10
\issue 3
\pages 73--83
\mathnet{http://mi.mathnet.ru/fpm780}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2123344}
\zmath{https://zbmath.org/?q=an:1073.26006}
\elib{https://elibrary.ru/item.asp?id=9068310}
\transl
\jour J. Math. Sci.
\yr 2006
\vol 139
\issue 4
\pages 6708--6714
\crossref{https://doi.org/10.1007/s10958-006-0385-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750518386}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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