On the Growth of Derivatives of Algebraic Polynomials in a Weighted Lebesgue Space

ABDULLAYEV F., Imashkyzy M.

Ukrainian Mathematical Journal, vol.74, no.5, pp.664-684, 2022 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 74 Issue: 5
  • Publication Date: 2022
  • Doi Number: 10.1007/s11253-022-02093-3
  • Journal Name: Ukrainian Mathematical Journal
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.664-684
  • Uşak University Affiliated: No

Abstract

We study the growth rates of the derivatives of an arbitrary algebraic polynomial in bounded and inbounded regions of the complex plane in weighted Lebesgue spaces.