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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 7, Pages 58–62 (Mi ivm9019)  
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotical representation of singular integral with the Hilbert kernel near a point of weak continuity of density

R. B. Salimov

Chair of Higher Mathematics, Kazan State Architecture and Building University, 1 Zelyonaya str., Kazan, 420043 Russia
Full-text PDF (146 kB) Citations (2) English version article
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Abstract: We derive asymptotical representation of singular integral with the Hilbert kernel near a fixed point at which an integral density vanishes as a negative power of module of logarithm of a distance from variable point to a fixed one.
Keywords: asymptotical representation, singular integral, Hilbert kernel, Hölder condition, weak continuity.
Received: 14.10.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 7, Pages 52–55
DOI: https://doi.org/10.3103/S1066369X15070063
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: R. B. Salimov, “Asymptotical representation of singular integral with the Hilbert kernel near a point of weak continuity of density”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 7, 58–62; Russian Math. (Iz. VUZ), 59:7 (2015), 52–55
Citation in format AMSBIB
\Bibitem{Sal15}
\by R.~B.~Salimov
\paper Asymptotical representation of singular integral with the Hilbert kernel near a~point of weak continuity of density
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 7
\pages 58--62
\mathnet{http://mi.mathnet.ru/ivm9019}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 7
\pages 52--55
\crossref{https://doi.org/10.3103/S1066369X15070063}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84930621979}
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    • This publication is cited in the following 2 articles:
    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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    References:143
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