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Zapiski Nauchnykh Seminarov LOMI, 1976, Volume 60, Pages 59–64 (Mi znsl2070)  
On constructive distribution functions

N. K. Kossovski
Full-text PDF (337 kB)
Abstract: The concept is introduced of a distribution function given by means of a sequence of finite-step functions that converges in the integral metric. (As shown in [1], the pointwise representation of a constructive distribution function at all points is not possible.) It is shown that there is a correspondence between constructive distributive functions and constructive characteristic functions.
English version:
Journal of Soviet Mathematics, 1980, Volume 14, Issue 5, Pages 1464–1468
DOI: https://doi.org/10.1007/BF01693978
Bibliographic databases:
UDC: 518.5, 51.01
Language: Russian
Citation: N. K. Kossovski, “On constructive distribution functions”, Studies in constructive mathematics and mathematical logic. Part VII, Zap. Nauchn. Sem. LOMI, 60, "Nauka", Leningrad. Otdel., Leningrad, 1976, 59–64; J. Soviet Math., 14:5 (1980), 1464–1468
Citation in format AMSBIB
\Bibitem{Kos76}
\by N.~K.~Kossovski
\paper On constructive distribution functions
\inbook Studies in constructive mathematics and mathematical logic. Part~VII
\serial Zap. Nauchn. Sem. LOMI
\yr 1976
\vol 60
\pages 59--64
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2070}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=536664}
\zmath{https://zbmath.org/?q=an:0449.03066|0336.02030}
\transl
\jour J. Soviet Math.
\yr 1980
\vol 14
\issue 5
\pages 1464--1468
\crossref{https://doi.org/10.1007/BF01693978}
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