On the $$s\textrm{th}$$ Derivative of a Polynomial

DOI10.1007/978-981-19-7014-6_4zbMath1530.30006OpenAlexW4318975176MaRDI QIDQ6193842

Barchand Chanam, Kshetrimayum Krishnadas

Publication date: 13 February 2024

Published in: Synergies in Analysis, Discrete Mathematics, Soft Computing and Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-19-7014-6_4

zbMATH Keywords

zerospolynomialBernstein-type inequality\(s\mathrm{th}\) 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)

Cites Work

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• Some Zygmund type \(L^q\) inequalities for polynomials.
• On the Derivative of a Polynomial
• Inequalities of A. Markoff and S. Bernstein for polynomials and related functions
• Proof of a conjecture of P. Erdös on the derivative of a polynomial
• Inequalities for a polynomial and its derivative
• Inequalities for a polynomial and its derivative

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