Means Moments and Newton's Inequalities
Statistics Theory
2017-02-16 v1 Statistics Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1702.04665,
title = {Means Moments and Newton's Inequalities},
author = {R. Sharma and A. Sharma and R. Saini and G. Kapoor},
journal= {arXiv preprint arXiv:1702.04665},
year = {2017}
}