Hermite-Sobolev and closely connected orthogonal polynomials

DOI10.1016/S0377-0427(97)00038-1zbMath0874.33009OpenAlexW1986614566MaRDI QIDQ1362358

André Draux, Charaf El Hami

Publication date: 3 August 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(97)00038-1

zbMATH Keywords

formal orthogonal polynomialsHermite polynomialsdefinite inner productHermite-Sobolev 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)

Related Items (5)

Generalized qd algorithm and Markov-Bernstein inequalities for Jacobi weight ⋮ Coherent pairs of measures and Markov-Bernstein inequalities ⋮ Δ-Coherent pairs of linear functionals and Markov-Bernstein inequalities ⋮ Markov-Bernstein and Landau-Kolmogorov type inequalities in several variables for the Hermite and closely connected measures ⋮ On the positivity of some bilinear functionals in Sobolev spaces

Cites Work

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• On a class of polynomials orthogonal with respect to a discrete Sobolev inner product
• Orthogonal polynomials on Sobolev spaces: Old and new directions
• Sobolev-type orthogonal polynomials: The nondiagonal case
• General Sobolev orthogonal polynomials
• Laguerre-Sobolev orthogonal polynomials
• On Sobolev orthogonality for the generalized Laguerre polynomials

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