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Vladikavkazskii Matematicheskii Zhurnal, 2011, Volume 13, Number 2, Pages 56–62 (Mi vmj385)  
Quadrature formulas for singular integrals with weight functions

Sh. S. Khubezhtya, L. Yu. Plievaa, Z. V. Besaevab

a South Mathematical Institute of VSC RAS, Vladikavkaz, Russia
b South Ossetia State University, Tskhinval, South Ossetia
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Abstract: We study singular integrals with weight functions and construct quadrature formulas for such integrals. Inversion formulas similar to the formulas for singular integrals with Chebyshev polynomials are proved. Application of obtained quadrature formulas to the numerical solution of singular integral equations are pointed out.
Key words: singular integral, inversion formulas, quadrature formulas.
Received: 14.02.2011
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: Sh. S. Khubezhty, L. Yu. Plieva, Z. V. Besaeva, “Quadrature formulas for singular integrals with weight functions”, Vladikavkaz. Mat. Zh., 13:2 (2011), 56–62
Citation in format AMSBIB
\Bibitem{KhuPliBes11}
\by Sh.~S.~Khubezhty, L.~Yu.~Plieva, Z.~V.~Besaeva
\paper Quadrature formulas for singular integrals with weight functions
\jour Vladikavkaz. Mat. Zh.
\yr 2011
\vol 13
\issue 2
\pages 56--62
\mathnet{http://mi.mathnet.ru/vmj385}
\elib{https://elibrary.ru/item.asp?id=16390691}
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