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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 10, Pages 39–47 (Mi ivm1764)  
This article is cited in 2 scientific papers (total in 2 papers)

Convergence in the integral metrics of the general projective solution method for singular integral equations of the first kind with the Cauchy kernel

A. V. Ozhegova

Kazan State University
Full-text PDF (187 kB) Citations (2)
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Abstract: We study the projective solution method for singular integral equations of the first kind with the Cauchy kernel. Depending on the index of the equation, we introduce pairs of weight spaces which represent the restriction of the space of summable functions. We prove the correctness of the stated problem. We obtain sufficient conditions for the convergence of the projective method in the integral metrics.
Keywords: singular integral equation of the first kind, projective method, approximation.
Received: 09.11.2006
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 10, Pages 32–39
DOI: https://doi.org/10.3103/S1066369X08100058
Bibliographic databases:
UDC: 519.642
Language: Russian
Citation: A. V. Ozhegova, “Convergence in the integral metrics of the general projective solution method for singular integral equations of the first kind with the Cauchy kernel”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 10, 39–47; Russian Math. (Iz. VUZ), 52:10 (2008), 32–39
Citation in format AMSBIB
\Bibitem{Ozh08}
\by A.~V.~Ozhegova
\paper Convergence in the integral metrics of the general projective solution method for singular integral equations of the first kind with the Cauchy kernel
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 10
\pages 39--47
\mathnet{http://mi.mathnet.ru/ivm1764}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2530526}
\zmath{https://zbmath.org/?q=an:1176.65161}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 10
\pages 32--39
\crossref{https://doi.org/10.3103/S1066369X08100058}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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