Some approximation results on Chlodowsky type q−Bernstein-Schurer operators

Aslan R., Mursaleen M.

Filomat, cilt.37, sa.23, ss.8013-8028, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 23
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2298/fil2323013a
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.8013-8028
  • Anahtar Kelimeler: modulus of smoothness, order of convergence, Peetre’s K-functional, q−integers, Voronovskaya type asymptotic theorem
  • Van Yüzüncü Yıl Üniversitesi Adresli: Hayır

Özet

The main concern of this article is to obtain several approximation features of the new Chlodowsky type q-Bernstein-Schurer operators. We prove the Korovkin type approximation theorem and discuss the order of convergence with regard to the ordinary modulus of continuity, an element of Lipschitz type and Peetre’s K-functional, respectively. In addition, we derive the Voronovskaya type asymptotic theorem. Finally, using of Maple software, we present the comparison of the convergence of Chlodowsky type q-Bernstein-Schurer operators to the certain functions with some graphical illustrations and error estimation tables.