Operator preserving Bernstein-type inequalities between polynomials

DOI10.3103/s1068362323050059OpenAlexW4387784081MaRDI QIDQ6153320

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Publication date: 19 March 2024

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362323050059

zbMATH Keywords

zerosestimatespolynomials

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 zeros of certain composite polynomials and an operator preserving inequalities
• Generalization of certain well-known polynomial inequalities
• Growth of Polynomials with Zeros Outside a Circle
• Inequalities for a polynomial and its derivative
• Functions of Exponential Type
• Proof of a conjecture of P. Erdös on the derivative of a polynomial
• Comparison inequalities of Bernstein-type between polynomials with restricted zeros
• Inequalities for a polynomial and its derivative
• On a theorem of S. Bernstein
• On maximum modulus of polynomials

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