arXiv:1705.02185 Abstract | arXiv Analytics

arXiv:1705.02185 [math.FA]Abstract References Reviews Resources

Operator inequalities among arithmetic mean, geometric mean and harmonic mean. II

Published 2017-05-05Version 1

We give some new refinements and reverses Young inequalities for two positive operators. Our results refine the ordering relations among the arithmetic mean, the geometric mean and the harmonic mean for two positive invertible operators. Some results relevant to the Heron mean are also considered.

Categories: math.FA

Keywords: harmonic mean, arithmetic mean, geometric mean, operator inequalities, reverses young inequalities

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