On the growth of derivatives of algebraic polynomials in regions with a piecewise quasicircle with zero angles
Filomat, cilt.38, sa.10, ss.3493-3522, 2024 (SCI-Expanded, Scopus)
- 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.