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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 3, Pages 545–557 (Mi zvmmf5568)  
A best quadrature formula and its application to calculation of singular integrals with a Cauchy kernel

L. A. Onegov

Kazan'
Full-text PDF (1133 kB)
Abstract: A best quadrature formula in the class of functions $W_0^2(M;0,1)$ is obtained by Nikol'skii's scheme for a class of integrals with fixed singularity. The result is used for the approximate evaluation of singular integrals with a Cauchy kernel.
Received: 29.06.1981
Revised: 23.04.1982
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 3, Pages 20–27
DOI: https://doi.org/10.1016/S0041-5553(83)80096-2
Bibliographic databases:
Document Type: Article
UDC: 519.644
Language: Russian
Citation: L. A. Onegov, “A best quadrature formula and its application to calculation of singular integrals with a Cauchy kernel”, Zh. Vychisl. Mat. Mat. Fiz., 23:3 (1983), 545–557; U.S.S.R. Comput. Math. Math. Phys., 23:3 (1983), 20–27
Citation in format AMSBIB
\Bibitem{One83}
\by L.~A.~Onegov
\paper A best quadrature formula and its application to calculation of singular integrals with a Cauchy kernel
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 3
\pages 545--557
\mathnet{http://mi.mathnet.ru/zvmmf5568}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=706880}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 3
\pages 20--27
\crossref{https://doi.org/10.1016/S0041-5553(83)80096-2}
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