𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The iterative combinations of a new sequence of linear positive operators

✍ Scribed by M.K Gupta; V Vasishtha

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
325 KB
Volume
39
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

✦ Synopsis

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 that the rates of convergence of these operators for bounded variation functions, for which one-sided limits f(x+) and f(~-) exist, are not analogous to the results of Gupta [1]. (~) 2004 Elsevier Ltd. All rights reserved.

πŸ“œ SIMILAR VOLUMES

Rate of approximation by a new sequence
Rate of approximation by a new sequence of linear positive operators
✍ V. Gupta πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 484 KB

## In the present paper, we study the rate of pointwise approximation by a new sequence of linear positive operators for functions of bounded variation. To prove the main result, we have used some results of probability theory. In the end, we also introduce the Bezier variant of these newly intro

The iterates of positive linear operator
The iterates of positive linear operators preserving constants
✍ Ioan Gavrea; Mircea Ivan πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 212 KB

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 Limits of (Linear Combinations of
On the Limits of (Linear Combinations of) Iterates of Linear Operators
✍ 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