Asymptotic properties of Chebyshev–Sobolev orthogonal polynomials

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摘要

In the present paper we study asymptotic properties for some Sobolev orthogonal polynomials on a bounded interval, using a connection with Sobolev orthogonal Laurent polynomials on the unit circle. We obtain asymptotic properties outside and inside the interval, as well as, interesting properties about zeros.

论文关键词：33C47,42C05,Orthogonal polynomials,Sobolev inner products,Measures on the real line,Szegő function,Carathéodory function

论文评审过程：Received 1 October 2003, Revised 5 March 2004, Available online 12 October 2004.

论文官网地址：https://doi.org/10.1016/j.cam.2004.03.026