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arXiv · 0910.0948

A Note on the Weighted Harmonic-Geometric-Arithmetic Means Inequalities

Gerard Maze·Urs Wagner
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Abstract

In this note, we derive non trivial sharp bounds related to the weighted harmonic-geometric-arithmetic means inequalities, when two out of the three terms are known. As application, we give an explicit bound for the trace of the inverse of a symmetric positive definite matrix and an inequality related to the coefficients of polynomials with positive roots.

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Gerard Maze, Urs Wagner. 2009-10-06. A Note on the Weighted Harmonic-Geometric-Arithmetic Means Inequalities. https://arxiv.org/abs/0910.0948

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