Approximation by certain linking operators

Acu A., BAŞCANBAZ TUNCA G., Cetin N.

ANNALS OF FUNCTIONAL ANALYSIS, cilt.11, sa.4, ss.1184-1202, 2020 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s43034-020-00081-x
  • Dergi Adı: ANNALS OF FUNCTIONAL ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.1184-1202
  • Anahtar Kelimeler: Bernstein operators, Genuine Bernstein-Durrmeyer operators, Modulus of continuity, Voronovskaya type theorem, Order of approximation
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we improve the order of approximation of certain operators linking Bernstein and genuine Bernstein-Durrmeyer operators. Firstly, we obtain some direct results in terms of modulus of continuity and Voronovskaja type asymptotic formula for these operators. Finally, we give some numerical examples regarding the obtained theoretical results for new constructed operators.