Extremal problems of Turán-type involving the location of all zeros of a polynomial

DOI10.1080/17476933.2022.2158186OpenAlexW4313814320MaRDI QIDQ6126836

Adil Hussain, Abdullah Mir

Publication date: 10 April 2024

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2022.2158186

zbMATH Keywords

inequalitieszerospolynomialspolar derivative

Mathematics Subject Classification ID

Polynomials and rational functions of one complex variable (30C10) Special classes of entire functions of one complex variable and growth estimates (30D15) Inequalities in the complex plane (30A10)

Cites Work

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• On the Erdős-Lax inequality concerning polynomials
• Extremal problems and inequalities of Markov-Bernstein type for algebraic polynomials
• On the inequalities concerning polynomials
• Bernstein and Turán-type inequalities for a polynomial with constraints on its zeros
• Extremal problems of Bernstein-type and an operator preserving inequalities between 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 note on Ankeny-Rivlin theorem
• Inequalities for the Derivative of a Polynomial
• A refinement of a theorem of Paul Turan concerning polynomials
• On the Derivative of a Polynomial
• On an operator preserving inequalities between polynomials

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