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Volume 10, Issue 4, Article 117 |
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Arithmetic-Geometric-Harmonic Mean of Three Positive Operators
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Authors: |
Mustapha Raïssouli, Fatima Leazizi, Mohamed Chergui, |
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Keywords:
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Positive operator, Geometric operator mean, Arithmetic-geometric-harmonic operator mean. |
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Date Received:
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18/12/2007 |
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Date Accepted:
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08/07/2009 |
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Subject Codes: |
15A48, 47A64.
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Editors: |
Fuad Kittaneh, |
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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.
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