In this note we introduce a simple and efficient technique for studying the asymptotic behavior of the iterates of a large class of positive linear operators preserving constant functions.
On the iterates of a class of summation-type linear positive operators
β Scribed by Octavian Agratini
- Book ID
- 108077163
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 137 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper, we establish two basic functional-type identities between the iterates of the BleimannαButzerαHahn operator and those of the Bernstein Ε½ . operator, on the one hand, and the iterates of the modified MeyerαKonig and Zeller operator and those of the Baskakov operator, on the other. Thes
We give necessary and sufficient conditions such that iterates or certain linear combinations of iterates of linear operators of finite dimensional range, respectively, converge. In case of convergence, we give an expression for the limit as well as estimates for the rate of convergence. Our results