QUADRATURE-FORMULAS ON THE UNIT-CIRCLE BASED ON RATIONAL FUNCTIONS

[摘要] 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.

[发布日期] 1994-05-20

[关键词] QUADRATURE FORMULAS;POSITIVE MEASURES;ORTHOGONAL RATIONAL FUNCTIONS