A family of Sobolev orthogonal polynomials on the unit circle

DOI10.1016/S0377-0427(99)00040-0zbMath0952.42013OpenAlexW1982995343MaRDI QIDQ1301953

Elías Berriochoa, Alicia Cachafeiro

Publication date: 26 October 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00040-0

zbMATH Keywords

asymptoticsSobolev orthogonal polynomialsnormsthree-term recurrence relationrational modification

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 (6)

Bernstein-szegö-lebesgue sobolev orthogonal polynomials on the unit circle ⋮ Sobolev orthogonal polynomials on the unit circle and coherent pairs of measures of the second kind ⋮ Orthogonal polynomials with respect to a family of Sobolev inner products 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 ⋮ Lebesgue Sobolev orthogonality on the unit circle

Cites Work

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• Orthogonal polynomials on the unit circle and their derivatives
• Orthogonal polynomials of Sobolev type on the unit circle
• On polynomials orthogonal with respect to Sobolev inner product on the unit circle
• Trigonometric Approximation in the Sobolev Spaces $W^{r,2} [ - \pi ,\pi $ with Constant Weights]

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