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arXiv · 1001.5055

Comparison of differences between arithmetic and geometric means

J. M. Aldaz
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Abstract

We complement a recent result of S. Furuichi, by showing that the differences $\sum_{i=1}^n α_i x_i - \prod_{i=1}^n x_i^{α_i}$ associated to distinct sequences of weights are comparable, with constants that depend on the smallest and largest quotients of the weights.

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J. M. Aldaz. 2010-10-07. Comparison of differences between arithmetic and geometric means. https://arxiv.org/abs/1001.5055

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