Approximating the singular integrals of Cauchy type with weight function on the interval.

• Main Authors: Eshkuratov, Zainidin K., Nik Long, Nik Mohd Asri
• Format: Article
• Language: English; English
• Published: Elsevier 2011
• Online Access: http://psasir.upm.edu.my/id/eprint/24856/1/Approximating%20the%20singular%20integrals%20of%20Cauchy%20type%20with%20weight%20function%20on%20the%20interval.pdf; http://psasir.upm.edu.my/id/eprint/24856/

It is known that the solutions of characteristic singular integral equations (SIEs) are expressed in terms of singular integrals of Cauchy type with weight functions w (x) = (1 + x)ν (1 - x)μ, where ν = ± frac(1, 2), μ = ± frac(1, 2). New quadrature formulas (QFs) are presented to approximate the si...