Polynomial inequalities in quasidisks on weighted Bergman spaces

DOI10.1007/s11253-017-1388-5zbMath1499.30303OpenAlexW2767894903MaRDI QIDQ1729625

Xianqiang Yang

Publication date: 27 February 2019

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

Full work available at URL: https://doi.org/10.1007/s11253-017-1388-5

zbMATH Keywords

complex algebraic polynomialsNikol'skii and Bernstein-Walsh-type estimations

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (10)

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 ⋮ 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 ⋮ ON THE GROWTH OF m-TH DERIVATIVES OF ALGEBRAIC POLYNOMIALS IN REGIONS WITH CORNERS IN A WEIGHTED BERGMAN SPACE ⋮ Unnamed Item ⋮ 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 ⋮ 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
• Weighted polynomial inequalities in the complex plane
• On the quantitative boundary behavior of conformal maps
• Über die quasikonforme Fortsetzung schlichter Funktionen
• Comparing norms of polynomials in one and several variables
• On the order of closeness of a spatial quasiconformal mapping to conformal
• Polynomials orthogonal over a region and Bieberbach polynomials
• 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 Differentiability at the Boundary in Conformal Mapping
• On the behavior of algebraic polynomials in regions with piecewise smooth boundary without cusps
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