Δ-Coherent pairs of linear functionals and Markov-Bernstein inequalities

DOI10.1080/10236198.2016.1226822zbMath1358.26017OpenAlexW2522491249MaRDI QIDQ2964235

André Draux

Publication date: 23 February 2017

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

Full work available at URL: https://doi.org/10.1080/10236198.2016.1226822

zbMATH Keywords

orthogonal polynomialsMarkov-Bernstein inequalitiesMeixner polynomialsCharlier polynomialsdiscrete variable\(\Delta\)-coherent pairs

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) Real polynomials: location of zeros (26C10) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (1)

On asymptotics of the sharp constants of the Markov-Bernshtein inequalities for the Sobolev spaces

Cites Work

• Unnamed Item
• On polynomials orthogonal with respect to certain Sobolev inner products
• On the positivity of some bilinear functionals in Sobolev spaces
• Hermite-Sobolev and closely connected orthogonal polynomials
• Improvement of the formal and numerical estimation of the constant in some Markov-Bernstein inequalities
• Discrete spectra of certain co-recursive Pollaczek polynomials and its applications
• Difference equations having bases with powerlike growth which are perturbed by a spectral parameter
• ASYMPTOTICS OF ORTHOGONAL POLYNOMIALS IN A NEIGHBORHOOD OF THE ENDPOINTS OF THE INTERVAL OF ORTHOGONALITY
• \Delta -Coherent Pairs and Orthogonal Polynomials of a Discrete Variable
• Classification of all δ-Coherent Pairs
• Matrix Iterative Analysis

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