Bernstein-Nikol'skii-type inequalities for algebraic polynomials from the Bergman space in domains of the complex plane

DOI10.1007/s11253-021-01940-zzbMath1482.30012OpenAlexW3211668679MaRDI QIDQ2057632

C. D. Gün, Fahreddin G. Abdullayev

Publication date: 7 December 2021

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

Full work available at URL: https://doi.org/10.1007/s11253-021-01940-z

zbMATH Keywords

polynomialsBernstein-type and Nikol'skii-type estimates

Mathematics Subject Classification ID

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

Related Items

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 derivatives of algebraic polynomials in a weighted Lebesgue space

Cites Work

• Weighted polynomial inequalities in the complex plane
• Nikol'skii inequalities for Lorentz spaces
• Sharp Nikolskij inequalities with exponential weights
• Analytic aspects of quasiconformality
• 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
• Uniform and pointwise polynomial inequalities in regions with asymptotically conformal curve on weighted Bergman space
• On the orthogonal polynomials with weight having singularities on the boundary of regions in the complex plane
• Polynomial inequalities in regions with zero interior angles in the Bergman space
• Uniform and pointwise Bernstein-Walsh-type inequalities on a quasidisk in the complex plane
• On certain mean values of polynomials
• 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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