On Bernstein-Walsh-type lemmas in regions of the complex plane

DOI10.1007/S11253-011-0507-YzbMath1238.30037OpenAlexW2156663602WikidataQ124999058 ScholiaQ124999058MaRDI QIDQ765382

Fahreddin G. Abdullayev, Nazlım Deniz Aral

Publication date: 19 March 2012

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-011-0507-y

zbMATH Keywords

algebraic polynomialsnorm estimatesBernstein-Walsh lemma

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Polynomials and rational functions of one complex variable (30C10) Quasiconformal mappings in the complex plane (30C62)

Related Items (7)

Bernstein-Walsh-type inequalities for derivatives of algebraic polynomials on the regions of complex plane ⋮ Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks ⋮ Inequalities of the Markov-Nikol'skii type in regions with zero interior angles in the Bergman space ⋮ ON THE GROWTH OF m-TH DERIVATIVES OF ALGEBRAIC POLYNOMIALS IN REGIONS WITH CORNERS IN A WEIGHTED BERGMAN SPACE ⋮ Unnamed Item ⋮ Bernstein-Walsh type inequalities in unbounded regions with piecewise asymptotically conformal curve in the weighted Lebesgue space ⋮ On the interference of the weight and boundary contour for algebraic polynomials in weighted Lebesgue spaces. II

Cites Work

• Uniform convergence of the generalized Bieberbach polynomials in regions with non-zero angles
• On some generalizations of a theorem of A. Markoff
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