Sobolev-type orthogonal polynomials on the unit ball

DOI10.1016/j.jat.2012.05.013zbMath1285.42021OpenAlexW1979684678MaRDI QIDQ387367

Antonia M. Delgado, Teresa E. Pérez, Miguel A. Piñar

Publication date: 23 December 2013

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2012.05.013

zbMATH Keywords

asymptoticsorthogonal polynomials in several variablesSobolev-type orthogonal polynomialsSobolev-type orthogonal polynomials on the unit ball

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 (4)

On Sobolev orthogonal polynomials on a triangle ⋮ Sobolev orthogonality of polynomial solutions of second-order partial differential equations ⋮ On Sobolev orthogonal polynomials ⋮ Sobolev orthogonal polynomials of several variables on product domains

Cites Work

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• Krall-type orthogonal polynomials in several variables
• Strong asymptotics on the support of the measure of orthogonality for polynomials orthogonal with respect to a discrete Sobolev inner product
• Relative asymptotics for orthogonal polynomials with a Sobolev inner product
• Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product
• On Orthogonal Polynomials of Sobolev Type: Algebraic Properties and Zeros
• Summability of Fourier orthogonal series for Jacobi weight on a ball in ℝ^{𝕕}
• On Recurrence Relations for Sobolev Orthogonal Polynomials

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