A new complex generalized Bernstein-Schurer operator

Çetin N.

Carpathian Journal of Mathematics, cilt.37, sa.1, ss.81-89, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 1
  • Basım Tarihi: 2021
  • Dergi Adı: Carpathian Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.81-89
  • Anahtar Kelimeler: Complex Stancu operator, complex Bernstein-Schurer operator, quantitative estimate, simultaneous approximation, univalence, starlikeness, convexity, spirallikeness, APPROXIMATION, POLYNOMIALS
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Hayır

Özet

© 2021, SINUS Association. All rights reserved.In this paper, we consider the complex form of a new generalization of Bernstein-Schurer operators. We obtain some quantitative upper estimates for the approximation of these operators attached to analytic functions. Moreover, we prove that these operators preserve some properties of the original function such as univalence, starlikeness, convexity and spirallikeness.