Asymptotic Growth of Moduli of <i>m</i>-th Derivatives of Algebraic Polynomials in Weighted Bergman Spaces on Regions Without Zero Angles

Asymptotic Growth of Moduli of <i>m</i>-th Derivatives of Algebraic Polynomials in Weighted Bergman Spaces on Regions Without Zero Angles

In this paper, we study asymptotic bounds on the <i>m</i>-th derivatives of general algebraic polynomials in weighted Bergman spaces. We consider regions in the complex plane defined by bounded, piecewise, asymptotically conformal curves with strictly positive interior angles. We first e...

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Bibliographic Details
Main Authors: Uğur Değer, Meerim Imashkyzy, Fahreddin G. Abdullayev
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Axioms
Subjects:
Bernstein–Markoff inequality
Walsh inequality
algebraic polynomial
quasiconformal mapping
quasicircle
asymptotically conformal curves
Online Access:https://www.mdpi.com/2075-1680/14/5/380
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