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

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

2009-10-06

arxiv.org/abs/0910.0948v2

Mathematics

Classical Analysis and ODEs

Reviewed article, to appear in Math. Ineq. App

Scientific paper

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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