A Newman type bound for \(L_p[-1,1]\)-means of the logarithmic derivative of polynomials having all zeros on the unit Circle

DOI10.1007/s00365-023-09622-8arXiv2209.06689OpenAlexW4318763453MaRDI QIDQ6182694

M. A. Komarov

Publication date: 21 December 2023

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.06689

zbMATH Keywords

Chui's problemintegral mean on a segmentlogarithmic derivative of a polynomialpolynomials with zeros on a circle

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Cites Work

• The size of \(\{x: r'_ n | r_ n\geq 1\}\) and lower bounds for \(\| e^{-x} - r_ n\|\)
• Lower bounds for the modulus of the logarithmic derivative of a polynomial
• Turán-type reverse Markov inequalities for polynomials with restricted zeros
• The Turán-type inequality in the space \(L_0\) on the unit interval
• Reverse Markov inequality on the unit interval for polynomials whose zeros lie in the upper unit half-disk
• Chui's conjecture in Bergman spaces
• Approximation by simple partial fractions with constraints on the poles. II
• On Approximation in the Bers Spaces
• A lower bound for the L_2[-1,1-norm of the logarithmic derivative of polynomials with zeros on the unit circle]
• A Lower Bound for an Area Integral

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