Optimal quadrature formulas with derivatives for Cauchy type singular integrals

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

Applied Mathematics and Computation, 2018, vol. 317, issue C, 150-159

Abstract: In the present paper in L2(m)(0,1) space the optimal quadrature formulas with derivatives are constructed for approximate calculation of the Cauchy type singular integral. Explicit formulas for the optimal coefficients are obtained. Some numerical results are presented.

Keywords: Optimal quadrature formulas; The extremal function; Sobolev space; Optimal coefficients; Cauchy type singular integral (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:317:y:2018:i:c:p:150-159

DOI: 10.1016/j.amc.2017.09.009

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