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Mathematics of the USSR-Izvestiya, 1972, Volume 6, Issue 2, Pages 429–443
DOI: https://doi.org/10.1070/IM1972v006n02ABEH001881 (Mi im2304) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Adjoint functions and integrals

T. P. Lukashenko
English version PDF (572 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/IM1972v006n02ABEH001881
Abstract: In this paper it is proved that $A$-integrals and $B$-integrals are inconsistent with the Denjoy–Hincin integral of functions which are adjoint to a summable function. Furthermore, the paper establishes nonadditivity of the $B$-integrals on an interval.
Received: 22.06.1971
Bibliographic databases:
UDC: 517.5
MSC: Primary 28A30; Secondary 42A40
Language: English
Original paper language: Russian
Citation: T. P. Lukashenko, “Adjoint functions and integrals”, Math. USSR-Izv., 6:2 (1972), 429–443
Citation in format AMSBIB
\Bibitem{Luk72}
\by T.~P.~Lukashenko
\paper Adjoint functions and integrals
\jour Math. USSR-Izv.
\yr 1972
\vol 6
\issue 2
\pages 429--443
\mathnet{http://mi.mathnet.ru//eng/im2304}
\crossref{https://doi.org/10.1070/IM1972v006n02ABEH001881}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=306416}
\zmath{https://zbmath.org/?q=an:0244.42023}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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