Jacobi-Sobolev orthogonal polynomials: asymptotics for \(N\)-coherence of measures

DOI10.1155/2011/294134zbMath1222.33012OpenAlexW2026339267WikidataQ59266785 ScholiaQ59266785MaRDI QIDQ535505

Francisco Marcellán, Bujar Xh. Fejzullahu

Publication date: 13 May 2011

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/230575

zbMATH Keywords

Jacobi polynomialsOrthogonal polynomialsasymptotics.Jacobi-Sobolev orthogonal polynomialsMehler-Heine-type formula

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 (1)

Jacobi-Sobolev orthogonal polynomials: asymptotics and a Cohen type inequality

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some asymptotics for Sobolev orthogonal polynomials involving Gegenbauer weights
• Asymptotics for Jacobi-Sobolev orthogonal polynomials associated with non-coherent pairs of measures
• Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures
• On polynomials orthogonal with respect to certain Sobolev inner products
• Asymptotic properties of orthogonal polynomials with respect to a non-discrete Jacobi-Sobolev inner product
• Zeros of Gegenbauer-Sobolev orthogonal polynomials: beyond coherent pairs
• Zeros of Sobolev orthogonal polynomials following from coherent pairs
• Determination of all coherent pairs
• On convergence and divergence of Fourier-Bessel series
• On Fourier series of a discrete Jacobi--Sobolev inner product
• Orthogonal polynomials and coherent pairs: The classical case
• The mean convergence of orthogonal series. III
• Cohen Type Inequalities for Jacobi, Laguerre and Hermite Expansions
• Asymptotics for Gegenbauer–Sobolev orthogonal polynomials associated with non-coherent pairs of measures
• Generalized Jacobi Weights, Christoffel Functions, and Jacobi Polynomials
• ASYMPTOTIC BEHAVIOR OF THEL^p-NORMS AND THE ENTROPY FOR GENERAL ORTHOGONAL POLYNOMIALS
• Mean Convergence of Jacobi Series
• Mean Convergence of Orthogonal Series

This page was built for publication: Jacobi-Sobolev orthogonal polynomials: asymptotics for \(N\)-coherence of measures