Szegö polynomials and Szegö quadrature for the Fejér kernel

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摘要

Szegö polynomials and Szegö quadrature on the unit circle are studied for the Fejér kernel. Connections with orthogonal polynomials on the line and Padé approximants are obtained.

论文关键词:41.65D,Fejér kernel,Generalized Jacobi weight function,Orthogonal polynomials,Padé approximants,Szegö quadrature

论文评审过程:Received 8 September 2003, Available online 18 November 2004.

论文官网地址:https://doi.org/10.1016/j.cam.2004.09.048