RATIONAL SZEGO QUADRATURES ASSOCIATED WITH CHEBYSHEV WEIGHT FUNCTIONS

RATIONAL SZEGO QUADRATURES ASSOCIATED WITH CHEBYSHEV WEIGHT FUNCTIONS

In this paper we characterize rational Szego quadrature formulas associated with Chebyshev weight functions, by giving explicit expressions for the corresponding para-orthogonal rational functions and weights in the quadratures. As an application, we give characterizations for Szego quadrature formu...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:MATHEMATICS OF COMPUTATION 2009-01, Vol.78 (266), p.1031-1059
Hauptverfasser: Bultheel, Adhemar, Cruz Barroso, R, Deckers, Karl, Gonzalez-Vera, Pablo
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper we characterize rational Szego quadrature formulas associated with Chebyshev weight functions, by giving explicit expressions for the corresponding para-orthogonal rational functions and weights in the quadratures. As an application, we give characterizations for Szego quadrature formulas associated with rational modifications of Chebyshev weight functions. Some numerical experiments are finally presented. © 2008 American Mathematical Society.
ISSN:0025-5718