Operator inequalities among arithmetic mean, geometric mean and harmonic mean

Published 18 Oct 2014 in math.FA | (1410.4905v1)

Abstract: We give an upper bound for the weighted geometric mean using the weighted arithmetic mean and the weighted harmonic mean. We also give a lower bound for the weighted geometric mean. These inequalities are proven for two invertible positive operators.

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Authors (1)

Shigeru Furuichi

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