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Optimal quadrature formulas with derivatives for Cauchy type singular integrals.

Authors :
Akhmedov, D.M.
Hayotov, A.R.
Shadimetov, Kh.M.
Source :
Applied Mathematics & Computation. Jan2018, Vol. 317, p150-159. 10p.
Publication Year :
2018

Abstract

In the present paper in L 2 ( 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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00963003
Volume :
317
Database :
Academic Search Index
Journal :
Applied Mathematics & Computation
Publication Type :
Academic Journal
Accession number :
125547450
Full Text :
https://doi.org/10.1016/j.amc.2017.09.009