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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 6, Pages 65–70 (Mi ivm1466)  
Brief communications

A direct method of solving the singular integral equation with the Hilbert kernel

V. P. Kadushina, A. I. Shakirovb

a Chair of Theory of Functions and Approximations, Kazan State University, Kazan, Russia
b TGT Oil & Gas Services, Ltd.
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Abstract: In this paper we consider a class of singular integral second-kind equations with Hilbert kernel on the unit circumference. We theoretically justify a method based on an interpolation-type operator.
Keywords: Lebesgue space, integral equation, singular integral with the Hilbert kernel, convergence, error estimate.
Received: 14.09.2007
Revised: 31.03.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 6, Pages 53–57
DOI: https://doi.org/10.3103/S1066369X09060097
Bibliographic databases:
Document Type: Article
UDC: 517.51+517.96+519.64
Language: Russian
Citation: V. P. Kadushin, A. I. Shakirov, “A direct method of solving the singular integral equation with the Hilbert kernel”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 6, 65–70; Russian Math. (Iz. VUZ), 53:6 (2009), 53–57
Citation in format AMSBIB
\Bibitem{KadSha09}
\by V.~P.~Kadushin, A.~I.~Shakirov
\paper A direct method of solving the singular integral equation with the Hilbert kernel
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 6
\pages 65--70
\mathnet{http://mi.mathnet.ru/ivm1466}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2584001}
\zmath{https://zbmath.org/?q=an:1176.45004}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 6
\pages 53--57
\crossref{https://doi.org/10.3103/S1066369X09060097}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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