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

DOI10.1007/s11253-022-02093-3zbMath1503.30016OpenAlexW4309781940MaRDI QIDQ2107791

Meerim Imashkyzy, Fahreddin G. Abdullayev

Publication date: 5 December 2022

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

Full work available at URL: https://doi.org/10.1007/s11253-022-02093-3

zbMATH Keywords

polynomialsgrowth of derivatives

Mathematics Subject Classification ID

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

Cites Work

• Strong asymptotics for Bergman polynomials over domains with corners and applications
• Weighted polynomial inequalities in the complex plane
• Sharp Nikolskij inequalities with exponential weights
• Comparing norms of polynomials in one and several variables
• Interference of the weight and boundary contour for algebraic polynomials in weighted Lebesgue spaces. I
• Polynomial inequalities in quasidisks on weighted Bergman spaces
• Convexity of harmonic densities
• Bernstein-Walsh type inequalities in unbounded regions with piecewise asymptotically conformal curve in the weighted Lebesgue space
• Bernstein-Nikol'skii-type inequalities for algebraic polynomials from the Bergman space in domains of the complex plane
• Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks
• 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
• 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
• Polynomial inequalities in regions with corners in theweighted Lebesgue spaces
• Bernstein-Walsh-type inequalities for derivatives of algebraic polynomials on the regions of complex plane
• Uniform and pointwise estimates for algebraic polynomials in regions with interior and exterior zero angles
• The uniform and pointwise estimates for polynomials on the weighted Lebesgue spaces in the general regions of complex plane
• Polynomial inequalities in Lavrentiev regions with interior and exterior zero angles in the weighted Lebesgue space
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