Optimal quadrature formulas for Cauchy type singular integrals in Sobolev space

Kh.M. Shadimetov, A.R. Hayotov and D.M. Akhmedov

Applied Mathematics and Computation, 2015, vol. 263, issue C, 302-314

Abstract: In the present paper in L2(m)(−1,1) space the optimal quadrature formula is constructed for approximate calculation of the Cauchy type singular integral. Explicit formulas for the optimal coefficients are obtained.

Keywords: Optimal quadrature formula; Singular integral of the Cauchy type; Sobolev space (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:263:y:2015:i:c:p:302-314

DOI: 10.1016/j.amc.2015.04.066

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