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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 5, Pages 77–82 (Mi ivm1280)  
This article is cited in 3 scientific papers (total in 3 papers)

The $A$-integral and its application in the investigations of P.  L. Ul'yanov and other mathematicians

T. P. Lukashenko

Chair of Mathematical Analysis, Faculty of Mathematics and Mechanics, Moscow State University
Full-text PDF (155 kB) Citations (3)
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Abstract: In this paper we consider the $A$-integral and its application in the theory of trigonometric series.
Keywords: $A$-integral, conjugate trigonometric series, conjugate function, Cauchy integral, Cauchy type integral.
Received: 07.10.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 5, Pages 67–71
DOI: https://doi.org/10.3103/S1066369X08050083
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: T. P. Lukashenko, “The $A$-integral and its application in the investigations of P.  L. Ul'yanov and other mathematicians”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 5, 77–82; Russian Math. (Iz. VUZ), 52:5 (2008), 67–71
Citation in format AMSBIB
\Bibitem{Luk08}
\by T.~P.~Lukashenko
\paper The $A$-integral and its application in the investigations of P.\, L.~Ul'yanov and other mathematicians
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 5
\pages 77--82
\mathnet{http://mi.mathnet.ru/ivm1280}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2445186}
\zmath{https://zbmath.org/?q=an:1158.42303}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 5
\pages 67--71
\crossref{https://doi.org/10.3103/S1066369X08050083}
Linking options:
  • https://www.mathnet.ru/eng/ivm1280
  • https://www.mathnet.ru/eng/ivm/y2008/i5/p77
    • This publication is cited in the following 3 articles:
    1. Kirill M. Naralenkov, “The A-integral for Riemann-measurable vector-valued functions”, European Journal of Mathematics, 10:2 (2024)  crossref
    2. M. P. Efimova, “The sufficient condition for integrability of a generalized $Q$-integral and points of integrability”, Moscow University Mathematics Bulletin, 70:4 (2015), 181–184  mathnet  crossref  mathscinet  isi
    3. M. P. Efimova, “On the Properties of the $Q$-Integral”, Math. Notes, 90:3 (2011), 322–332  mathnet  crossref  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:654
    Full-text PDF :263
    References:120
    First page:4
     
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