On the growth of derivatives of algebraic polynomials in regions with a piecewise quasicircle with zero angles

Değer U., ABDULLAYEV F.

Filomat, cilt.38, sa.10, ss.3493-3522, 2024 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 10
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2410493d
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3493-3522
  • Anahtar Kelimeler: Algebraic polynomials, Conformal mapping, Quasicircle
  • 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-quasicircle boundary having interior and exterior zero angles in the weighted Lebesgue spaces.