Title
Optimal quadrature formulas with derivatives for Cauchy type singular integrals.
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.
Year
DOI
Venue
2018
10.1016/j.amc.2017.09.009
Applied Mathematics and Computation
Keywords
Field
DocType
Cauchy type singular integral, MSC65D32, Optimal coefficients, Optimal quadrature formulas, Sobolev space, The extremal function
Mathematical optimization,Singular integral,Mathematical analysis,Numerical integration,Cauchy distribution,Quadrature (mathematics),Mathematics
Journal
Volume
ISSN
Citations 
317
0096-3003
0
PageRank 
References 
Authors
0.34
2
3