Markov-Bernstein and Landau-Kolmogorov type inequalities in several variables for the Hermite and closely connected measures

DOI10.1016/j.jat.2014.08.002zbMath1298.33008OpenAlexW2041527977MaRDI QIDQ744063

André Draux, Lamia Abbas

Publication date: 6 October 2014

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2014.08.002

zbMATH Keywords

Sobolev spacesorthogonal polynomialsvariational methodsMarkov-Bernstein inequalitiesHermite measureJacobi measureLaguerre-Sonin measureLandau-Kolmogorov type inequalities

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Inequalities for trigonometric functions and polynomials (26D05) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (1)

Markov-Bernstein and Landau-Kolmogorov type inequalities in several variables for the Hermite and closely connected measures

Cites Work

• On the exact \(L_2\) Markov inequality on some unbounded domains in \(\mathbb{R}^d\).
• Markov-Bernstein and Landau-Kolmogorov type inequalities in several variables for the Hermite and closely connected measures
• A new characterization of Hermite polynomials
• On the positivity of some bilinear functionals in Sobolev spaces
• Hermite-Sobolev and closely connected orthogonal polynomials
• Extremal problems, inequalities, and classical orthogonal polynomials.
• Landau and Kolmogoroff type polynomial inequalities
• Über die nebst ihren Ableitungen orthogonalen Polynomensysteme und das zugehörige Extremum
• On a polynomial inequality of Kolmogoroff’s type
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