Convergence rate of Padé-type approximants for Stieltjes functions

7 pages, no figures.-- MSC2000 code: 41A20.-- Issue title: "Proceedings of the VIIIth Symposium on Orthogonal Polynomials and Their Application" (Seville, Spain, Sep. 1997), edited by Antonio J. Durán.MR#: MR1662682 (99i:41013)Zbl 0934.41010For a wide class of Stieltjes functions we estimate the rate of convergence of Padé-type approximants when the number of fixed poles represents a fixed proportion with respect to the order of the rational approximant.Research by first (M.B.) and third (J.J.G.) authors was partially supported by DGES under grant PB96-0120-C03-02. Research by fourth author (G.L.L.) was partially supported by DGES under grant PB96-0120-C03-01.Publicad