Sb. Damelin et K. Diethelm, Interpolatory product quadratures for Cauchy principal value integrals with Freud weights, NUMER MATH, 83(1), 1999, pp. 87-105
We prove convergence results and error estimates for interpolatory product
quadrature formulas for Cauchy principal value integrals on the real line w
ith Freud-type weight functions. The formulas are based on polynomial inter
polation at the zeros of orthogonal polynomials associated with the weight
function under consideration. As a by-product, we obtain new bounds for the
derivative of the functions of the second kind for these weight functions.