A weak-star convergence result for orthogonal rational functions

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摘要

We prove a weak-star convergence result for orthogonal rational functions on the interval [-1,1] which generalizes a well-known result by Rakhmanov (Math. USSR-Sb. 32(1977) 199). As an application, we use this result to approximate a certain integral which occurs in the computation of orthogonal rational functions.

论文关键词：42C05,65D05,Orthogonal rational functions,Orthogonal polynomials,Asymptotic properties

论文评审过程：Received 26 September 2003, Available online 17 November 2004.

论文官网地址：https://doi.org/10.1016/j.cam.2004.08.011