Lebesgue Sobolev orthogonality on the unit circle

DOI10.1016/S0377-0427(98)00089-2zbMath0933.42011MaRDI QIDQ1298647

Elías Berriochoa, Alicia Cachafeiro

Publication date: 12 March 2000

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

zbMATH Keywords

orthogonal polynomialsmeasures on the unit circleSobolev inner productsSzegő condition

Mathematics Subject Classification ID

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

Related Items (8)

Bernstein-szegö-lebesgue sobolev orthogonal polynomials on the unit circle ⋮ Strong asymptotics for the continuous Sobolev orthogonal polynomials on the unit circle ⋮ Sobolev orthogonal polynomials on the unit circle and coherent pairs of measures of the second kind ⋮ Nodal systems with maximal domain of exactness for Gaussian quadrature formulas ⋮ Differential properties for Sobolev orthogonality on the unit circle ⋮ A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: bounds, asymptotics and zeros ⋮ An extension of the coherent pair of measures of the second kind on the unit circle ⋮ Differential properties for a class of Sobolev orthogonal polynomials

Cites Work

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• On polynomials orthogonal with respect to certain Sobolev inner products
• A family of Sobolev orthogonal polynomials on the unit circle
• A class of orthogonal polynomials
• A Convergence Equivalence Related to Polynomials Orthogonal on the Unit Circle

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