|
JIPAM
| Arithmetic-Geometric-Harmonic Mean of Three Positive Operators |
|
|
|
|
| |
| |
Authors: |
Mustapha Raïssouli, Fatima Leazizi, Mohamed Chergui, |
|
| |
Keywords:
|
Positive operator, Geometric operator mean, Arithmetic-geometric-harmonic operator mean. |
|
| |
Date Received:
|
18/12/2007 |
|
| |
Date Accepted:
|
08/07/2009 |
|
| |
Subject Codes: |
15A48, 47A64.
|
|
| |
Editors: |
Fuad Kittaneh, |
|
| |
|
|
|
|
| |
Abstract: |
In this paper, we introduce the geometric mean of several positive operators defined from a simple and practical recursive algorithm. This approach allows us to construct the arithmetic-geometric-harmonic mean of three positive operators which has many of the properties of the standard one.;
|
This article was printed from JIPAM
http://jipam.vu.edu.au
The URL for this article is:
http://jipam.vu.edu.au/article.php?sid=1173
|