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arXiv:1410.4905 [math.FA]AbstractReferencesReviewsResources

Operator inequalities among arithmetic mean, geometric mean and harmonic mean

Shigeru Furuichi

Published 2014-10-18Version 1

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.

Comments: 4 pages
Journal: Journal of Mathematical Inequalities, Vol.8, No.3 (2014), pp.669-672
Categories: math.FA
Subjects: 15A39, 15A45
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