Bernstein-type inequalities involving polar derivative of a polynomial

DOI10.1134/S1995080221010224zbMath1461.30022OpenAlexW3133986262MaRDI QIDQ2656421

Idrees Qasim

Publication date: 11 March 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221010224

zbMATH Keywords

inequalitiescomplex polynomialszerospolar derivative

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)

Cites Work

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• Inequalities for polynomials not vanishing in a disk
• On some inequalities concerning the polar derivative of a polynomial
• Generalization of certain well-known polynomial inequalities
• Inequalities concerning the derivative of polynomials
• Proof of a conjecture of P. Erdös on the derivative of a polynomial
• On a theorem of S. Bernstein
• On maximum modulus of polynomials

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