Some properties of the Bézier–Kantorovich type operators
✍ Scribed by Paulina Pych-Taberska
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 184 KB
- Volume
- 123
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
This paper is devoted to the study of preservation properties of the Baskakov-Kantorovich operators such as monotonicity, convexity, smoothness, as well as those under the average. Some of them are first considered for the positive linear operators as we know. Our results show that there are some di
In this paper, we introduce Baskakov-B~zier operator Bn,c, which is an operator of probabilistic type. We study the rate of convergence of the operator Bn,a for locally bounded functions by using some inequalities and results of probability theory. Our estimate is essentially the best possible. (~)
The pointwise approximation properties of the MKZ-Bézier operators M n,α (f , x) for α ≥ 1 have been studied in [X.M. Zeng, Rates of approximation of bounded variation functions by two generalized Meyer-König-Zeller type operators, Comput. Math. Appl. 39 (2000) 1-13]. The aim of this paper is to st