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

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

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
URI https://vuir.vu.edu.au/id/eprint/17136
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords inequality, arithmetic mean, geometric mean, harmonic mean, Cauchy-Schwartz-Buniakowski's inequality
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