Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks

DOI10.1515/math-2021-0138zbMath1492.30014OpenAlexW4212869626MaRDI QIDQ2135038

Fahreddin G. Abdullayev

Publication date: 4 May 2022

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2021-0138

zbMATH Keywords

estimatespolynomialsderivatives

Mathematics Subject Classification ID

Polynomials and rational functions of one complex variable (30C10) Inequalities in the complex plane (30A10)

Related Items (2)

Inequalities of the Markov-Nikol'skii type in regions with zero interior angles in the Bergman space ⋮ On the growth of derivatives of algebraic polynomials in a weighted Lebesgue space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong asymptotics for Bergman polynomials over domains with corners and applications
• Weighted polynomial inequalities in the complex plane
• On Bernstein-Walsh-type lemmas in regions of the complex plane
• Nikol'skii inequalities for Lorentz spaces
• Sharp Nikolskij inequalities with exponential weights
• Comparing norms of polynomials in one and several variables
• Polynomial inequalities in quasidisks on weighted Bergman spaces
• Convexity of harmonic densities
• Ul'yanov and Nikol'skii-type inequalities
• On the order of closeness of a spatial quasiconformal mapping to conformal
• Bernstein-Nikol'skii-type inequalities for algebraic polynomials from the Bergman space in domains of the complex plane
• An analogue of the Bernstein-Walsh lemma in Jordan regions of the complex plane
• On the behavior of algebraic polynomial in unbounded regions with piecewise Dini-smooth boundary
• Uniform and pointwise polynomial inequalities in regions with asymptotically conformal curve on weighted Bergman space
• Polynomial inequalities in regions with zero interior angles in the Bergman space
• On certain mean values of polynomials
• ON THE GROWTH OF ALGEBRAIC POLYNOMIALS IN THE WHOLE COMPLEX PLANE
• On the behavior of algebraic polynomials in regions with piecewise smooth boundary without cusps

This page was built for publication: Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks