Approximation properties for the genuine modified Bernstein-Durrmeyer-Stancu operators

Cai Qing-bo C. Q., Kantar Ü., ÇEKİM B.

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, cilt.35, sa.4, ss.468-478, 2020 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s11766-020-3918-y
  • Dergi Adı: APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.468-478
  • Anahtar Kelimeler: genuine modified, Bernstein-Durrmeyer-Stancu operators, Voronovskaja type approximation theorem, rate of convergence, modulus of continuity
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we study on the genuine modified Bernstein-Durrmeyer-Stancu operators (G) over bar (n) (f, x) and investigate some approximation properties of them. Furthermore, we present a Voronovskaja type theorem for these operators. We also give some graphs and numerical examples to illustrate the convergence properties of these operators for certain functions.