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A Proof of the Arithmetic Mean-Geometric Mean-Harmonic Mean Inequalities

Xia, Da-Feng and Xu, Sen-Lin and Qi, Feng (1999) A Proof of the Arithmetic Mean-Geometric Mean-Harmonic Mean Inequalities. RGMIA research report collection, 2 (1).

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Abstract

In the note, using Cauchy-Schwartz-Buniakowski's inequality, the authors give a new proof of the arithmetic mean-geometric mean-harmonic mean inequalities.

Item Type: Article
Uncontrolled Keywords: inequality, arithmetic mean, geometric mean, harmonic mean, Cauchy-Schwartz-Buniakowski's inequality
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 19 Jul 2012 00:58
Last Modified: 23 May 2013 16:48
URI: http://vuir.vu.edu.au/id/eprint/17136
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