Weighted \(L_p\) Bernstein-type inequalities on a quasismooth curve in the complex plane

DOI10.1007/s10474-011-0155-6zbMath1299.30005OpenAlexW2113023309MaRDI QIDQ2454573

Vladimir V. Andrievskii

Publication date: 13 June 2014

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-011-0155-6

zbMATH Keywords

Bernstein inequalitypolynomialquasismooth arc

Mathematics Subject Classification ID

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

Related Items (6)

Chebyshev polynomials on a system of continua ⋮ On the Christoffel function for the generalized Jacobi measures on a quasidisk ⋮ Christoffel functions for doubling measures on quasismooth curves and arcs ⋮ Weighted polynomial inequalities in the complex plane ⋮ Weighted Remez- and Nikolskii-type inequalities on a quasismooth curve ⋮ Chebyshev and fast decreasing polynomials

Cites Work

• On the boundary continuity of conformal maps
• S. N. Bernstein type estimations in the mean on the curves in a complex plane
• Weighted polynomial inequalities with doubling and \(A_\infty\) weights
• Inequalities of the Markoff and Bernstein type for integral norms
• On certain mean values of polynomials
• CONFORMAL MAPPINGS AND THE APPROXIMATION OF ANALYTIC FUNCTIONS IN DOMAINS WITH A QUASICONFORMAL BOUNDARY
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