Optimal quadrature formulas with derivatives for Cauchy type singular integrals

被引：4
|
作者：
Akhmedov, D. M. [1 ]
Hayotov, A. R. [1 ]
Shadimetov, Kh. M. [1 ]
机构：
[1] Uzbek Acad Sci, Inst Math, 29 Dormon Yoli St, Tashkent 100125, Uzbekistan
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 317卷
关键词：
Optimal quadrature formulas; The extremal function; Sobolev space; Optimal coefficients; Cauchy type singular integral;
D O I：
10.1016/j.amc.2017.09.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2017ElsevierInc. Allrightsreserved.
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页码：150 / 159
页数：10
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