Uniform norm estimates of Bernstein-type for lacunary-type complex polyomials

DOI10.7153/jca-2021-18-04zbMath1499.30011OpenAlexW3202611172MaRDI QIDQ5078335

Abdullah Mir, Adil Hussain

Publication date: 23 May 2022

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jca-2021-18-04

zbMATH Keywords

maximum modulus principleBernstein-inequalitypolar derivative of a polynomial

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

• A refinement of an inequality of S. Bernstein
• New Inequalities for Polynomials
• Some Inequalities for the Derivative of Polynomials
• Functions of Exponential Type Not Vanishing in a Half-Plane and Related Polynomials
• Proof of a conjecture of P. Erdös on the derivative of a polynomial
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item