\(L_p\) Markov-Bernstein inequalities on arcs of the circle

DOI10.1006/jath.2000.3502zbMath0978.41009OpenAlexW2073223554MaRDI QIDQ5930032

Doron S. Lubinsky

Publication date: 25 January 2002

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

Full work available at URL: https://doi.org/10.1006/jath.2000.3502

zbMATH Keywords

approximation on arcsMarkov-Bernstein inequalitiestrigonometric polynomials

Mathematics Subject Classification ID

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

Related Items (9)

Local quadrature formulas on the sphere ⋮ Marcinkiewicz-Zygmund type results in multivariate domains ⋮ Weighted polynomial inequalities with doubling weights on a quasismooth arc ⋮ Universality limits involving orthogonal polynomials on the unit circle ⋮ Basic polynomial inequalities on intervals and circular arcs ⋮ \(L_{p}\) Markov-Bernstein inequalities on all arcs of the circle ⋮ Positive cubature formulas and Marcinkiewicz-Zygmund inequalities on spherical caps ⋮ Weighted polynomial inequalities in the complex plane ⋮ On the size of the polynomials orthonormal on the unit circle with respect to a measure which is a sum of the Lebesgue measure and 𝑃 point masses

Cites Work

• 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
• Large sieve estimates on arcs of a circle.
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