Comparison of differences between arithmetic and geometric means

Details Comparison of differences between arithmetic and geometric means Comparison of differences between arithmetic and geometric means

2010-01-27

arxiv.org/abs/1001.5055v2

Mathematics

Classical Analysis and ODEs

Improvements on the bounds after becoming aware of the paper by Sever S. Dragomir, "Bounds for the normalised Jensen functiona

Scientific paper

We complement a recent result of S. Furuichi, by showing that the differences
$\sum_{i=1}^n \alpha_i x_i - \prod_{i=1}^n x_i^{\alpha_i}$ 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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