Zeros of Sobolev orthogonal polynomials on the unit circle

DOI10.1007/s11075-012-9594-6zbMath1254.33012OpenAlexW2046643888MaRDI QIDQ715130

Francisco Marcellán, Luis E. Garza, Kenier Castillo

Publication date: 1 November 2012

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-012-9594-6

zbMATH Keywords

zerosorthonormal polynomialsSobolev inner productsHessenberg matricesprobability measures on the unit circle

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47)

Related Items (5)

Matrix Uvarov transformation on the unit circle: asymptotic properties ⋮ Zeros of Sobolev orthogonal polynomials on the unit circle ⋮ Orthogonal polynomials with respect to a family of Sobolev inner products 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

Cites Work

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• A new approach to relative asymptotic behavior for discrete Sobolev-type orthogonal polynomials on the unit circle
• Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case
• Zeros of Sobolev orthogonal polynomials on the unit circle
• Spectral transformations for Hermitian Toeplitz matrices
• Zeros of OPUC and long time asymptotics of Schur and related flows
• Extensions of Szegö's theory of orthogonal polynomials. II
• Asymptotic behavior of Sobolev-type orthogonal polynomials on the unit circle
• Generalized Szegö theory in frequency analysis
• On polynomials orthogonal with respect to Sobolev inner product on the unit circle
• Szegő polynomials and quadrature formulas on the unit circle
• Asymptotic behavior of Sobolev-type orthogonal polynomials on a rectifiable Jordan curve or arc
• Szegő polynomials applied to frequency analysis
• Remarks on E. A. Rahmanov's paper On the asymptotics of the ratio of orthogonal polynomials
• Sobolev-type orthogonal polynomials on the unit circle.
• Some properties of zeros of Sobolev-type orthogonal polynomials
• Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS. II
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• Schur flow for orthogonal polynomials on the unit circle and its integrable discretization

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