𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The iterates of positive linear operators preserving constants

✍ Scribed by Ioan Gavrea; Mircea Ivan


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
212 KB
Volume
24
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis


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.


πŸ“œ SIMILAR VOLUMES


On the Limits of (Linear Combinations of
✍ Hans-JΓΆrg Wenz πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 400 KB

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

Shape Preserving Properties of Some Posi
✍ Ingrid Carbone πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 265 KB

In this paper we study some shape preserving properties of particular positive linear operators acting on spaces of continuous functions defined on the interval [0, + [, which are strongly related to the semigroups generated by a large class of degenerate elliptic second order differential operators

Linear operators preserving the minimal
✍ Wasin So πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 66 KB

The minimal rank of a square matrix is studied, and the linear operators preserving it are characterized. Some related results are presented and some unsolved problems are discussed.

The iterative combinations of a new sequ
✍ M.K Gupta; V Vasishtha πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 325 KB

In the present paper, we study a new sequence of linear positive operators. We obtain a Voronovskaja type asymptotic formula and an estimate on error in terms of higher-order modulus of continuity for the iterative combinations of the new sequence of linear positive operators. Here, we also note tha