Comparison inequalities of Bernstein-type between polynomials with restricted zeros

DOI10.2298/AADM200911029MzbMath1499.30010OpenAlexW3204192495MaRDI QIDQ5866245

Abdullah Mir

Publication date: 13 June 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm200911029m

zbMATH Keywords

zerosRouché's theoremcomplex polynomialmaximum modulus principle

Mathematics Subject Classification ID

Inequalities in the complex plane (30A10)

Related Items (2)

Operator preserving Bernstein-type inequalities between polynomials ⋮ Zygmund-type integral inequalities for complex polynomials

Cites Work

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• On the zeros of certain composite polynomials and an operator preserving inequalities
• Certain estimates of the derivative of a meromorphic function on boundary of the unit disk
• Inequalities describing the growth of polynomials not vanishing in a disk of prescribed radius
• Functions of Exponential Type
• 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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