The logarithmic mean

Bhatia, Rajendra (2008) The logarithmic mean Resonance - Journal of Science Education, 13 (6). pp. 583-594. ISSN 0971-8044

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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.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Inequalities; Logarithmic Mean; Power Mean; Holder Mean; Arithmetic-Geometric Mean (AGM); Arithmetic-Mean Geometric-Mean Inequality (AM-GM Inequality); Heinz Mean
ID Code:2562
Deposited On:08 Oct 2010 06:56
Last Modified:16 May 2016 13:32

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