Rational Szego quadratures associated with Chebyshev weight functions

Bultheel, Adhemar; Cruz-Barroso, Ruymán; Deckers, Karl; González-Vera, Pablo

doi:10.1090/S0025-5718-08-02208-4

Rational Szego quadratures associated with Chebyshev weight functions
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by Adhemar Bultheel, Ruymán Cruz-Barroso, Karl Deckers and Pablo González-Vera PDF

Math. Comp. 78 (2009), 1031-1059 Request permission

Abstract:

In this paper we characterize rational Szegő 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 Szegő quadrature formulas associated with rational modifications of Chebyshev weight functions. Some numerical experiments are finally presented.

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