Bernstein-Walsh type inequalities in unbounded regions with piecewise asymptotically conformal curve in the weighted Lebesgue space

DOI10.1007/s10958-018-3979-6zbMath1401.41014OpenAlexW2887287608WikidataQ129409040 ScholiaQ129409040MaRDI QIDQ1994833

Meerim Imashkyzy, Gülnara A. Abdullayev, Fahreddin G. Abdullayev

Publication date: 2 November 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3979-6

zbMATH Keywords

conformal mappingalgebraic polynomialsquasicircleasymptotically conformal curve

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Polynomials and rational functions of one complex variable (30C10)

Related Items (1)

On the growth of derivatives of algebraic polynomials in a weighted Lebesgue space

Cites Work

• Strong asymptotics for Bergman polynomials over domains with corners and applications
• On Bernstein-Walsh-type lemmas in regions of the complex plane
• On the quantitative boundary behavior of conformal maps
• Über die quasikonforme Fortsetzung schlichter Funktionen
• An analogue of the Bernstein-Walsh lemma in Jordan regions of the complex plane
• ON THE GROWTH OF ALGEBRAIC POLYNOMIALS IN THE WHOLE COMPLEX PLANE
• On the Boundary Correspondence of Asymptotically Conformal Automorphisms
• On the local behaviour of quasi-conformal mappings
• On asymptotically conformal curves
• Polynomial inequalities in Lavrentiev regions with interior and exterior zero angles in the weighted Lebesgue space
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