Kantorovich-type generalization of parametric Baskakov operators
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.42, no.18, pp.6580-6587, 2019 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 42 Issue: 18
- Publication Date: 2019
- Doi Number: 10.1002/mma.5762
- Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.6580-6587
- Keywords: alpha-Kantorovich operator, Voronovskaja-type theorem, weighted approximation
- Gazi University Affiliated: Yes
Abstract
In this manuscript, we define a Kantorovich generalization of the nonnegative parametric Baskakov operators. After that, the weighted uniform convergence of the generalized operators is proved. Also, we present Voronovskaja-type asymptotic approximation theorem then establish weighted approximation properties for parametric Kantorovich operator. Numerical results show that depending on the value of the parameter, we obtain a better approximation.