Comparison of differences between arithmetic and geometric means
classification
🧮 math.CA
keywords
alphadifferencesweightsarithmeticassociatedcomparablecomparisoncomplement
read the original abstract
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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