Bernstein-Walsh-type inequalities for derivatives of algebraic polynomials on the regions of complex plane


Özkartepe N. P., Gün C. D., ABDULLAYEV F.

Turkish Journal of Mathematics, cilt.46, sa.7, ss.2572-2609, 2022 (SCI-Expanded, Scopus, TRDizin) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 7
  • Basım Tarihi: 2022
  • Doi Numarası: 10.55730/1300-0098.3289
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.2572-2609
  • Anahtar Kelimeler: Algebraic polynomial, Asymptotic conformal curve, Quasiconformal mapping, Quasismooth curve, Smooth curve
  • Uşak Üniversitesi Adresli: Hayır

Özet

In this paper, we study Bernstein–Walsh-type estimates for the derivatives of an arbitrary algebraic polynomial on some general regions of the complex plane.