Weighted polynomial inequalities with doubling weights on a quasismooth arc

DOI10.1007/s00365-011-9144-9zbMath1276.30009OpenAlexW2095521762MaRDI QIDQ443891

Vladimir V. Andrievskii

Publication date: 13 August 2012

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-011-9144-9

zbMATH Keywords

polynomialsMarkov-Bernstein inequalitiesdoubling weightsDini-smooth arcDzjadyk kernelquasismooth arcSchur inequalities

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Polynomials and rational functions of one complex variable (30C10) Quasiconformal mappings in the complex plane (30C62)

Related Items (3)

Pointwise copositive polynomial approximation on arcs in the complex plane ⋮ Christoffel functions for doubling measures on quasismooth curves and arcs ⋮ Weighted polynomial inequalities in the complex plane

Cites Work

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• S. N. Bernstein type estimations in the mean on the curves in a complex plane
• On the theory of approximation of functions on closed sets of the complex plane (with reference to a problem of S. M. Nikol'skii)
• \(L_ p\) Markov-Bernstein inequalities for Freud weights
• Markov-Bernstein-type inequality for trigonometric polynomials with respect to doubling weights on \([-\omega,\omega\)]
• Weighted polynomial inequalities with doubling and \(A_\infty\) weights
• On certain mean values of polynomials
• \(L_p\) Markov-Bernstein inequalities on arcs of the circle
• Large sieve estimates on arcs of a circle.

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