Generalized Stieltjes polynomials and Rational Gauss-Kronrod quadrature.

  1. Hernández, M.B. 2
  2. De La Calle Ysern, B. 3
  3. Lagomasino, G.L. 1
  1. 1 Universidad Carlos III de Madrid
    info

    Universidad Carlos III de Madrid

    Madrid, España

    ROR https://ror.org/03ths8210

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  3. 3 Universidad Politécnica de Madrid
    info

    Universidad Politécnica de Madrid

    Madrid, España

    ROR https://ror.org/03n6nwv02

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Journal:
Constructive Approximation

ISSN: 0176-4276

Year of publication: 2004

Volume: 20

Issue: 2

Pages: 249-265

Type: Article

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DOI: 10.1007/S00365-002-0531-0 SCOPUS: 2-s2.0-11144358594 WoS: WOS:000189001300005 GOOGLE SCHOLAR lock_openOpen access editor

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Abstract

Generalized Stieltjes polynomials are introduced and their asymptotic properties outside the support of the measure are studied. As applications, we prove the convergence of sequences of interpolating rational functions, whose poles are partially fixed, to Markov functions and give an asymptotic estimate of the error of rational Gauss-Kronrod quadrature formulas when functions which are analytic on some neighborhood of the set of integration are considered.