Bernstein-type inequalities for a polynomial not vanishing in a disk

Abdullah Mir () and Firdose Ahmad ()
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Abdullah Mir: University of Kashmir
Firdose Ahmad: University of Kashmir

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 2, 526-534

Abstract: Abstract We establish some Bernstein-type inequalities which are point-wise estimates for the modulus of the derivative and polar derivative of a polynomial. The obtained results produce various generalizations and refinements of the classical Erdős-Lax inequality and related inequalities.

Keywords: Bernstein’s inequality; Polar derivative of a polynomial; Zeros; 30A10; 30C10; 30C15 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13226-023-00499-8

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