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Means Moments and Newton's Inequalities
R. Sharma, A. Sharma, R. Saini, G. Kapoor · 2017-02-16 · via math.ST updates on arXiv.org

It is shown that Newton's inequalities and the related Maclaurin's inequalities provide several refinements of the fundamental Arithmetic mean - Geometric mean - Harmonic mean inequality in terms of the means and variance of positive real numbers. We also obtain some inequalities involving third and fourth central moments of real numbers.

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