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On a Mixed Arithmetic-Mean, Geometric-Mean, Harmonic-Mean Inequality (2401.10234v2)
Published 3 Jun 2023 in math.GM
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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