Uniform and pointwise polynomial inequalities in regions with asymptotically conformal curve on weighted Bergman space

DOI10.1134/S1995080217020020zbMath1367.30020MaRDI QIDQ2357024

Tuncay Tunç, Fahreddin G. Abdullayev

Publication date: 16 June 2017

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

polynomialsBernstein inequalitiesNikol'skii inequalities

Mathematics Subject Classification ID

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

Related Items (6)

Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks ⋮ Polynomial inequalities in regions with zero interior angles in the Bergman space ⋮ Inequalities of the Markov-Nikol'skii type in regions with zero interior angles in the Bergman space ⋮ Unnamed Item ⋮ Bernstein-Nikol'skii-type inequalities for algebraic polynomials from the Bergman space in domains of the complex plane ⋮ Bernstein-Walsh-type polynomial inequalities in domains bounded by piecewise asymptotically conformal curve with nonzero inner angles in the Bergman space

Cites Work

• Strong asymptotics for Bergman polynomials over domains with corners and applications
• Weighted polynomial inequalities in the complex plane
• On the quantitative boundary behavior of conformal maps
• On the theory of approximation of functions on closed sets of the complex plane (with reference to a problem of S. M. Nikol'skii)
• Über die quasikonforme Fortsetzung schlichter Funktionen
• Comparing norms of polynomials in one and several variables
• On the behavior of algebraic polynomial in unbounded regions with piecewise Dini-smooth boundary
• On the orthogonal polynomials with weight having singularities on the boundary of regions in the complex plane
• Uniform and pointwise Bernstein-Walsh-type inequalities on a quasidisk in the complex plane
• On the Boundary Correspondence of Asymptotically Conformal Automorphisms
• On the local behaviour of quasi-conformal mappings
• On asymptotically conformal curves
• On the behavior of algebraic polynomials in regions with piecewise smooth boundary without cusps
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