On the behavior of derivatives of algebraic polynomials in regions with piecewise quasismooth boundary having cusps

Değer U., ABDULLAYEV F.

Filomat, vol.38, no.10, pp.3467-3492, 2024 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 10
  • Publication Date: 2024
  • Doi Number: 10.2298/fil2410467d
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3467-3492
  • Keywords: Algebraic polynomials, Conformal mapping, Quasicircle, Quasismooth curve
  • Uşak University Affiliated: No

Abstract

In this paper, we study the growth for the m-th derivatives of an arbitrary algebraic polynomial in bounded and unbounded regions with piecewise quasismooth boundary having interior and exterior zero angles in weighted Lebesgue spaces.