Interpolating the arithmetic-geometric mean inequality and its operator version

By Rajendra Bhatia. 2006

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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.

Subfields: Applied Mathematics, Computational Theory and Mathematics

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