Generalized Stieltjes polynomials and rational Gauss-Kronrod quadrature

Bello, Manuel; Calle Ysern, Bernardo de la; López Lagomasino, Guillermo

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Generalized Stieltjes polynomials and rational Gauss-Kronrod quadrature

Author(s): Bello, Manuel; Calle Ysern, Bernardo de la; López Lagomasino, Guillermo

Publisher: Springer

Issued date: 2004-01

Citation: Constructive Approximation, 2004, vol. 20, n. 2, p. 249-265

ISSN: 0176-4276 (Print)
1432-0940 (Online)

DOI: 10.1007/s00365-002-0531-0

Sponsor: The work of M. Bello Hernández and B. de la Calle Ysern was partially supported by Dirección General de Enseñanza Superior (DGES) under grants BFM2000-0206-C04-03 and BFM2000-0206-C04-01, respectively. The work of G. López Lagomasino was partially supported by DGES under grant BFM2000-0206-C04-01 and by INTAS under grant 00-272.

Review: PeerReviewed

Publisher version: http://dx.doi.org/10.1007/s00365-002-0531-0

Keywords: Stieltjes polynomials , Varying measures , Gauss–Kronrod quadrature , Rational quadrature , Multipoint Padé-type approximation

URI: http://hdl.handle.net/10016/6295

Rights: © Springer

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 Mar [+]