A Cohen type inequality for Gegenbauer-Sobolev expansions

DOI10.1216/RMJ-2013-43-1-135zbMath1266.42066MaRDI QIDQ1951348

Bujar Xh. Fejzullahu, Francisco Marcellán

Publication date: 5 June 2013

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1370267182

zbMATH Keywords

orthogonal expansionsCohen type inequalityGegenbauer-Sobolev polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (2)

On convergence of Fourier series in discrete Jacobi–Sobolev spaces ⋮ Fourier series of Gegenbauer-Sobolev polynomials

Cites Work

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• On orthogonal polynomials with respect to an inner product involving derivatives: Zeros and recurrence relations
• A Cohen type inequality for ultraspherical series
• A Cohen-type inequality for Jacobi expansions and divergence of Fourier series on compact symmetric spaces
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• On convergence and divergence of Fourier-Bessel series
• Cohen Type Inequalities for Jacobi, Laguerre and Hermite Expansions
• Orthogonal polynomials with respect to a symmetric inner product involving derivatives
• Generalized Jacobi Weights, Christoffel Functions, and Jacobi Polynomials
• On multipliers preserving convergence of trigonometric series almost everywhere

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