Preservation properties of the Baskakov–Kantorovich operators
✍ Scribed by Chungou Zhang; Zhihui Zhu
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 389 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
✦ Synopsis
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 differences in preservation properties between the Baskakov-Kantorovich operators and the Baskakov operators.
📜 SIMILAR VOLUMES
In the present paper, we study the rate of convergence in simultaneous approximation for the Bézier variant of the Baskakov-Beta operators by using the decomposition technique of functions of bounded variation.
Beasley, L.B. and N.J. Pullman, Linear operators that strongly preserve graphical properties of matrices, Discrete Mathematics 104 (1992) 143-157. An operator on the set Ju of n X n matrices strongly preserves a subset 9 if it maps 9 into 9 and A\% into A\%. The operator semigroup of 9 is the semig