Note on an inequality of M.A. Malik

DOI10.2298/AADM210529030MOpenAlexW4297127318MaRDI QIDQ5054099

Adil Hussain Malik, Abdullah Mir, Abrar Ahmad

Publication date: 29 November 2022

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

Full work available at URL: https://doi.org/10.2298/aadm210529030m

zbMATH Keywords

polar derivative of a polynomialminimum modulus principleTurán's classical inequality

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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• On the polar derivative of a polynomial
• Some generalizations involving the polar derivative for an inequality of Paul Turán
• Extensions of some polynomial inequalities to the polar derivative
• Some inequalities for derivatives of polynomials
• On the Erdős-Lax inequality concerning polynomials
• Generalizations of Bernstein and Turán-type inequalities for the polar derivative of a complex polynomial
• Bernstein-type integral inequalities for a certain class of polynomials
• A refinement of a theorem of Paul Turan concerning polynomials
• Integral norm estimates for the polar derivative of Lacunary-type complex polynomials
• On sharpening of an inequality of Turán
• A note on two recent results about polynomials with restricted zeros
• On the Erdős-Lax inequality concerning polynomials
• On the Derivative of a Polynomial