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

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arxiv 0910.0948 v2 pith:7MLTMUZ4 submitted 2009-10-06 math.CA math.GM

Gerard Maze , Urs Wagner This is my paper · ORCID
classification math.CAmath.GM
keywords harmonic-geometric-arithmeticinequalitiesmeansnotepositiverelatedweightedapplication
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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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