Bhatia, Rajendra (2006) Interpolating the arithmetic-geometric mean inequality and its operator version Linear Algebra and its Applications, 413 (2-3). pp. 355-363. ISSN 0024-3795
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00243...
Related URL: http://dx.doi.org/10.1016/j.laa.2005.03.005
Abstract
Two families of means (called Heinz means and Heron means) that interpolate between the geometric and the arithmetic mean are considered. Comparison inequalities between them are established. Operator versions of these inequalities are obtained. Failure of such extensions in some cases is illustrated by a simple example.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Inequalities for Means; Operator Inequalities; Positive Definite Matrix; Unitarily Invariant Norm |
| ID Code: | 2587 |
| Deposited On: | 08 Oct 2010 07:06 |
| Last Modified: | 08 Oct 2010 07:06 |
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