A remark on the application of interpolatory quadrature rules to the numerical solution of singular integral equations (Q1059385)

A Cauchy type singular integral equation can be numerically solved either directly or after its reduction to an equivalent Fredholm integral equation of the second kind. The equivalence of these two methods (that is, the equivalence both of the obtained systems of linear algebraic equations) is proved for singular integral equations of the second kind with constant coefficients over the interval \(-1<x<1\) and with the index \(\kappa =0\) for general interpolatory rules.