A new approach to relative asymptotic behavior for discrete Sobolev-type orthogonal polynomials on the unit circle

DOI10.1016/j.aml.2011.11.015zbMath1242.42018OpenAlexW2082671460MaRDI QIDQ419134

Kenier Castillo

Publication date: 18 May 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.11.015

zbMATH Keywords

Sobolev inner productorthogonal polynomials on the unit circleNevai-Blumenthal classrelative asymptotic

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (5)

On computational aspects of discrete Sobolev inner products on the unit circle ⋮ Matrix Uvarov transformation on the unit circle: asymptotic properties ⋮ Zeros of Sobolev orthogonal polynomials on the unit circle ⋮ On Some Recent Results on Asymptotic Behavior of Orthogonal Polynomials on the Unit Circle and Inserting Point Masses ⋮ On a Family of Hypergeometric Sobolev Orthogonal Polynomials on the Unit Circle

Cites Work

• A new linear spectral transformation associated with derivatives of Dirac linear functionals
• Spectral transformations for Hermitian Toeplitz matrices
• Extensions of Szegö's theory of orthogonal polynomials. II
• Asymptotic behavior of Sobolev-type orthogonal polynomials on the unit circle
• On polynomials orthogonal with respect to Sobolev inner product on the unit circle
• Sobolev-type orthogonal polynomials on the unit circle.
• Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product

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