Sobolev-type orthogonal polynomials on the unit circle.

DOI10.1016/S0096-3003(01)00079-0zbMath1033.42025OpenAlexW2104583956MaRDI QIDQ1855678

Francisco Marcellán, Leandro Moral

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00079-0

zbMATH Keywords

orthogonal polynomialsNevai-Blumenthal classSobolev inner products

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (10)

A new approach to relative asymptotic behavior for discrete Sobolev-type orthogonal polynomials on the unit circle ⋮ On computational aspects of discrete Sobolev inner products on the unit circle ⋮ Some remarks on a paper by L. Carlitz ⋮ Matrix Uvarov transformation on the unit circle: asymptotic properties ⋮ Asymptotic behaviour of Sobolev orthogonal polynomials on the unit circle ⋮ 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 ⋮ A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: bounds, asymptotics and zeros ⋮ On a Christoffel transformation for matrix measures supported on the unit circle ⋮ Zeros of para-orthogonal polynomials and linear spectral transformations on the unit circle

Cites Work

• Unnamed Item
• Unnamed Item
• Extensions of Szegö's theory of orthogonal polynomials. II
• Asymptotic behavior of Sobolev-type orthogonal polynomials on the unit circle
• Orthogonal polynomials of Sobolev type on the unit circle
• On polynomials orthogonal with respect to Sobolev inner product on the unit circle
• Relative asymptotics for orthogonal polynomials with a Sobolev inner product
• Remarks on E. A. Rahmanov's paper On the asymptotics of the ratio of orthogonal polynomials
• Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product
• A class of orthogonal polynomials
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle

This page was built for publication: Sobolev-type orthogonal polynomials on the unit circle.