Journal of computational and applied mathematics vol:50 issue:1-3 pages:159-170
International Conference on Computational and Applied Mathematics location:Leuven, BE date:July 27-August 1, 1992
Quadrature formulas on the unit circle were introduced by Jones et al. in 1989. On the other hand, Bultheel et al. also considered such quadratures by giving results concerning error and convergence. In other recent papers, a more general situation was studied by the authors involving orthogonal rational functions on the unit circle which generalize the well-known Szego polynomials. In this paper, these quadratures are again analyzed and results about convergence given. Furthermore, an application to the Poisson integral is also made.