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Means Moments and Newton's Inequalities

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arxiv 1702.04665 v1 pith:E2UOKBFL submitted 2017-02-15 math.ST stat.TH

R. Sharma , A. Sharma , R. Saini , G. Kapoor This is my paper · ORCID
classification math.STstat.TH
keywords inequalitiesmeanmeansmomentsnewtonnumbersrealarithmetic
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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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