\(L_{p}\) Markov-Bernstein inequalities on all arcs of the circle

DOI10.1006/JATH.2002.3675zbMath1009.41009OpenAlexW2016131415MaRDI QIDQ696894

C. K. Kobindarajah, Doron S. Lubinsky

Publication date: 12 September 2002

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

Full work available at URL: https://doi.org/10.1006/jath.2002.3675

zbMATH Keywords

approximation on arcsMarkov-Bernstein inequalitiestrigonometric polynomials

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (3)

𝐿^{𝑝}-Bernstein inequalities on 𝐶²-domains and applications to discretization ⋮ Basic polynomial inequalities on intervals and circular arcs ⋮ Positive cubature formulas and Marcinkiewicz-Zygmund inequalities on spherical caps

Cites Work

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• Akhiezer's orthogonal polynomials and Bernstein-Szegő method for a circular arc
• Bounds for orthogonal polynomials for exponential weights
• \(L_ p\) Markov-Bernstein inequalities for Freud weights
• Interpolations by bounded analytic functions and the corona problem
• \(L_p\) Markov-Bernstein inequalities on arcs of the circle
• Large sieve estimates on arcs of a circle.

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