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The inequality between the arithmetic mean (AM) and geometric mean (GM) of two positive numbers is well known. This article introduces the logarithmic mean, shows how it leads to refinements of the AM-GM inequality. Some applications and properties of this mean are shown. Some other means and related inequalities are discussed.
Rajendra Bhatia
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Logarithmic Mean of Multiple Accretive Matrices
Bulletin of the Iranian Mathematical Society, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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