On a Characterization of Integrability for the Reciprocal Weight of Orthogonal Polynomials on the Circle

被引：0

作者：

A. Aptekarev

E. Berriochoa

A. Cachafeiro

机构：

[1] Russian Academy of Sciences,Keldysh Institute of Applied Mathematics

[2] Universidad de Vigo,Departamento de Matemática Aplicada, Facultad de Ciencias

[3] Universidad de Vigo,Departamento de Matemática Aplicada, ETS Ingenieros Industriales

来源：

Acta Applicandae Mathematica | 2000年 / 61卷

关键词：

orthogonal polynomials; extremal problems; Szegő"s theory;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove a necessary and sufficient condition for integrability of the reciprocal weight function of orthogonal polynomials. The condition is given in terms of the asymptotic behaviour of the norm of extremal polynomials with prescribed coefficients.

引用

页码：81 / 86

页数：5

共 6 条

[1]

Golinskii L. B.(1996)Perturbation of orthogonal polynomials on an arc of the unit circle J. Approx. Theory 83 392-422

[2]

Nevai P.(1954)An extension of a theorem of G. Szeg?o and its application to the study of stochastic processes Trans. Amer. Math. Soc. 76 112-126

[3]

Van Assche W.(1986)Géza Freud, orthogonal polynomials and Christoffel functions A case study, J. Approx. Theory 48 3-167

[4]

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