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

Değer, U.; ABDULLAYEV, FAHREDDİN

doi:10.2298/fil2410467d

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)

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.