Asymptotics for Stieltjes polynomials, Padé-type approximants, and Gauss-Kronrod quadrature.
- Bello Hernández, M. 1
- De La Calle Ysern, B. 1
- Guadalupe Hernández, J.J. 1
- Lopez Lagomasino, G. 1
-
1
Universidad de La Rioja
info
ISSN: 0021-7670
Argitalpen urtea: 2002
Alea: 86
Orrialdeak: 1-23
Mota: Artikulua
Beste argitalpen batzuk: Journal d'Analyse Mathematique
Laburpena
We study the asymptotic properties of Stieltjes polynomials outside the support of the measure as well as the asymptotic behaviour of their zeros. These properties are used to estimate the rate of convergence of sequences of rational functions, whose poles are partially fixed, which approximate Markov-type functions. An estimate for the speed of convergence of the Gauss-Kronrod quadrature formula in the case of analytic functions is also given.