On a composition preserving inequalities between polynomials

DOI10.3103/S1068362318010041zbMath1390.30006OpenAlexW2793623255MaRDI QIDQ1746941

Nisar Ahmad Rather, Suhail Gulzar

Publication date: 26 April 2018

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362318010041

zbMATH Keywords

polynomialsinequalities in the complex domaincomposition of polynomialsSchur-Szegő

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Polynomials and rational functions of one complex variable (30C10)

Cites Work

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• On estimates for the coefficients of a polynomial
• Inequalities of A. Markoff and S. Bernstein for polynomials and related functions
• Proof of a conjecture of P. Erdös on the derivative of a polynomial
• On a theorem of S. Bernstein
• Inequalities for a polynomial and its derivative

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