A Note on the Weighted Harmonic-Geometric-Arithmetic Means Inequalities
Classical Analysis and ODEs
2010-09-27 v2 General Mathematics
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.
Cite
@article{arxiv.0910.0948,
title = {A Note on the Weighted Harmonic-Geometric-Arithmetic Means Inequalities},
author = {Gerard Maze and Urs Wagner},
journal= {arXiv preprint arXiv:0910.0948},
year = {2010}
}
Comments
Reviewed article, to appear in Math. Ineq. App