Asymptotic Behavior of Sobolev-Type Orthogonal Polynomials on a Rectifiable Jordan Curve or Arc

被引：0
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作者：
A. Branquinho
A. F. Moreno
F. Marcellán
机构：
[1] A. Branquinho Departamento de Matemática Universidade de Coimbra Apartado 3008 3000 Coimbra Portugal ajplb@mat.uc.pt,
[2] A. Foulquié Moreno Departamento de Matemática Universidade de Aveiro Campus de Santiago 3810 Aveiro Portugal foulquié@mat.ua.pt,undefined
[3] F. Marcellán Departamento de Matemática Escuela Politécnica Superior Universidade Carlos III C. Butarque,undefined
[4] 15 28911 Leganés-Madrid Spain pacomarc@ing.uc3m.es,undefined
来源：
Constructive Approximation | 2002年 / 18卷
关键词：
Orthogonal polynomials; Sobolev inner products; Asymptotics; Jordan curves; Primary 42C05;
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摘要：
Our object of study is the asymptotic behavior of the sequence of polynomials orthogonal with respect to the discrete Sobolev inner product <formula> \langle f, g \rangle = ∈t_{E} f(ξ) \overline{g(ξ)} ρ(ξ) |d ξ|+ f(Z) A g(Z)^H, </formula> where E is a rectifiable Jordan curve or arc in the complex plane
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页码：161 / 182
页数：21
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