Quadrature Formula of Singular Integral Based on Rational Interpolation

摘要

We construct a quadrature formula of the singular integral with the Chebyshev weight of the second kind by using Lagrange interpolation based on the rational system {1/(x-a 1),1/(x-a 2),...} , and both the remainder and convergence of the quadrature formula established here are discussed. Our results extend some classical ones.