2017/02/15 by Rashmi Sharma, Arvind Sharma, Sharma, R. +5
Mathematics · #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Mathematical Inequalities and Applications #Mathematics and Applications #Statistics Theory (math.ST)
paper · pdf · doi:10.48550/arxiv.1702.04665
openalex publication_date 2017/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.