Asymptotic properties and Fourier expansions of orthogonal polynomials with a non-discrete Gegenbauer-Sobolev inner product

DOI10.1016/j.jat.2009.07.002zbMath1190.33014OpenAlexW2013219046MaRDI QIDQ2268565

Bujar Xh. Fejzullahu

Publication date: 8 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.jat.2009.07.002

zbMATH Keywords

Gegenbauer orthogonal polynomialsFourier expansions.Gegenbauer-Sobolev type orthogonal polynomials

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) Other special orthogonal polynomials and functions (33C47)

Related Items (3)

Jacobi-Sobolev orthogonal polynomials: asymptotics and a Cohen type inequality ⋮ The uniform convergence of Fourier series in a system of polynomials orthogonal in the sense of Sobolev and associated to Jacobi polynomials ⋮ Sobolev orthogonal systems with two discrete points and Fourier series

Cites Work

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• Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials. I
• On polynomials orthogonal with respect to certain Sobolev inner products
• Determination of all coherent pairs
• Strong asymptotics for Gegenbauer-Sobolev orthogonal polynomials
• Asymptotics of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures with compact support
• Laguerre-Sobolev orthogonal polynomials: Asymptotics for coherent pairs of type II
• On convergence and divergence of Fourier-Bessel series
• The mean convergence of orthogonal series. III
• Divergent Jacobi Polynomial Series
• Two Notes on Convergence and Divergence A.E. of Fourier Series with Respect to Some Orthogonal Systems
• Divergent Cesàro and Riesz means of Jacobi and Laguerre expansions
• ASYMPTOTIC BEHAVIOR OF THEL^p-NORMS AND THE ENTROPY FOR GENERAL ORTHOGONAL POLYNOMIALS
• Mean Convergence of Jacobi Series
• Equivalent Norms for Sobolev Spaces
• The Convergence Almost Everywhere of Legendre Series
• Mean Convergence of Orthogonal Series

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