Generalization of certain well-known inequalities for the derivative of polynomials

DOI10.1007/s10476-015-0109-2zbMath1363.30015OpenAlexW2293476002MaRDI QIDQ343257

Ahmad Zireh

Publication date: 25 November 2016

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-015-0109-2

zbMATH Keywords

zeros of polynomialsbounds for the derivatives of polynomials

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

Related Items (6)

Some integral inequalities for a polynomial with zeros outside the unit disk ⋮ Unnamed Item ⋮ A Zygmund-type integral inequality for polynomials ⋮ Unnamed Item ⋮ Inequalities for complex rational functions ⋮ On an operator preserving inequalities between polynomials

Cites Work

• Generalization of some polynomial inequalities not vanishing in a disk
• Generalization of certain well-known polynomial inequalities
• Some inequalities for derivatives of polynomials
• Growth of Polynomials with Zeros Outside a Circle
• On the Derivative of a Polynomial
• Proof of a conjecture of P. Erdös on the derivative of a polynomial
• Inequalities for a polynomial and its derivative
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