Approximation properties for the genuine modified Bernstein-Durrmeyer-Stancu operators
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, vol.35, no.4, pp.468-478, 2020 (SCI-Expanded, Scopus)
- 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.