. C A ] 2 4 Se p 20 10 A Note on the Weighted Harmonic - Geometric - Arithmetic Means Inequalities ∗

نویسنده

  • Urs Wagner
چکیده

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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تاریخ انتشار 2010