Quadrature on the half-line and two-point Padé approximants to Stieltjes functions .2. Convergence

Let α be a distribution function on [a, b] (0 less than or equal to a < b less than or equal to + infinity) such that the moment c(k) = integral(a)(b) x(k) d α(x) exist for all the integers k. The main course of the paper is to give convergence results both for sequences of two-point Padé approximants to the Cauchy transform of the distribution alpha (Stieltjes function) and for quadrature formulas based on exactly integrating Laurent polynomials.status: publishe