Comparison of differences between arithmetic and geometric means

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J. M. Aldaz


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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How to Cite
Aldaz, J. M. (2011). Comparison of differences between arithmetic and geometric means. Tamkang Journal of Mathematics, 42(4), 453–462.
Author Biography

J. M. Aldaz, Departamento deMatemáticas, Universidad Autónoma deMadrid, Cantoblanco 28049, Madrid, Spain.

Professor at the Math. Department.


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