A Cohen-Type Inequality for Fourier Expansions with Respect to Non-Discrete Laguerre–Sobolev Inner Product

DOI10.1080/01630563.2010.528571zbMath1210.42041OpenAlexW2007105115MaRDI QIDQ3068663

Bujar Xh. Fejzullahu

Publication date: 17 January 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.528571

zbMATH Keywords

Laguerre polynomialsLaguerre-Sobolev type polynomialsCohen-type inequality

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)

Cites Work

• On polynomials orthogonal with respect to certain Sobolev inner products
• A Cohen type inequality for Laguerre-Sobolev expansions
• Mean Cesaro summability of Laguerre expansions and norm estimates with shifted parameter
• Heat-diffusion and Poisson integrals for Laguerre expansions
• Determination of all coherent pairs
• Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Laguerre type
• Laguerre-Sobolev orthogonal polynomials: Asymptotics for coherent pairs of type II
• A generating function for Laguerre-Sobolev orthogonal polynomials.
• Laguerre-Sobolev orthogonal polynomials
• Cohen Type Inequalities for Jacobi, Laguerre and Hermite Expansions
• On convergence and divergence of Fourier expansions associated to Jacobi measure with mass points
• Strong and Plancherel-Rotach asymptotics of non-diagonal Laguerre-Sobolev orthogonal polynomials

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