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arXiv · 2401.10234

On a Mixed Arithmetic-Mean, Geometric-Mean, Harmonic-Mean Inequality

Kyumin Nam
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Abstract

A mixed arithmetic-mean, geometric-mean inequality was conjectured by F. Holland and proved by K. Kedlaya. In this note, we prove a mixed arithmetic-mean, harmonic-mean inequality and a mixed geometric-mean, harmonic-mean, and a more extended inequality: a mixed arithmetic-mean, geometric-mean, harmonic-mean inequality.

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Kyumin Nam. 2023-06-03. On a Mixed Arithmetic-Mean, Geometric-Mean, Harmonic-Mean Inequality. https://doi.org/10.14445/22315373%2Fijmtt-v69i5p507

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