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

Değer U., ABDULLAYEV F.

Filomat, cilt.38, sa.10, ss.3467-3492, 2024 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 10
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2410467d
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3467-3492
  • Anahtar Kelimeler: Algebraic polynomials, Conformal mapping, Quasicircle, Quasismooth curve
  • Uşak Üniversitesi Adresli: Hayır

Özet

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.