Approximation Properties of λ-Bernstein-Kantorovich-Stancu Operators

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Bodur M., Manav N., Tasdelen F.

Mathematica Slovaca, cilt.72, sa.1, ss.141-152, 2021 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 72 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1515/ms-2022-0010
  • Dergi Adı: Mathematica Slovaca
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.141-152
  • Anahtar Kelimeler: rate of convergence, Voronovskaja type theorem, λ-Bernstein operators, λ-Kantorovich-Stancu operators
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

© 2021 Mathematical Institute, Slovak Academy of Sciences 2022.The goal of this paper is to construct a new type of Bernstein operators depending on the shape parameter λ∈[-1,1]. For these new type operators a uniform convergence result is presented. Furthermore, order of approximation in the sense of local approximation is investigated and Voronovskaja type theorem is proved. Lastly, some graphical results are given to show the rate of convergence of constructed operators to a given function f.