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Vladikavkazskii Matematicheskii Zhurnal, 2014, Volume 16, Number 4, Pages 54–60 (Mi vmj522)  
A convergence criterion of a smoothing method for singular integral operators with piecewise continuous coefficients

V. S. Pilidi

Southern Federal University, Rostov-on-Don, Russia
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Abstract: For a complete singular integral operator with piecewise continuous coefficients on the real axis a criterion of convergence of an approximation method by a family of complete singular integral operators with the coefficients being continuous on the one-point compactification of the real axis is obtained.
Key words: complete singular integral operator, piecewise continuous coefficients, convergence of the approximation method, uniform invertibility, local principle.
Received: 19.06.2014
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. S. Pilidi, “A convergence criterion of a smoothing method for singular integral operators with piecewise continuous coefficients”, Vladikavkaz. Mat. Zh., 16:4 (2014), 54–60
Citation in format AMSBIB
\Bibitem{Pil14}
\by V.~S.~Pilidi
\paper A convergence criterion of a~smoothing method for singular integral operators with piecewise continuous coefficients
\jour Vladikavkaz. Mat. Zh.
\yr 2014
\vol 16
\issue 4
\pages 54--60
\mathnet{http://mi.mathnet.ru/vmj522}
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