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, vol.35, no.4, pp.468-478, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 4
  • Publication Date: 2020
  • Doi Number: 10.1007/s11766-020-3918-y
  • Journal Name: APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.468-478
  • Keywords: genuine modified, Bernstein-Durrmeyer-Stancu operators, Voronovskaja type approximation theorem, rate of convergence, modulus of continuity
  • Gazi University Affiliated: Yes

Abstract

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.