A Note on the Weighted Harmonic–geometric–arithmetic Means Inequalities
نویسندگان
چکیده
In this note, we derive non trivial sharp bounds related to the weighted harmonicgeometric-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. Mathematics subject classification (2010): Primary 26D15; Secondary 15A42.
منابع مشابه
. C A ] 2 4 Se p 20 10 A Note on the Weighted Harmonic - Geometric - Arithmetic Means Inequalities ∗
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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