The matrix geometric mean of parameterized, weighted arithmetic and harmonic means

A Geometric Mean of Parameterized Arithmetic and Harmonic Means of Convex Functions

and Applied Analysis 3 called cofinite if the recession function f0 of f satisfies f0 y ∞, for all y / 0 see 15, page 116 . Then f is cofinite if and only if dom f∗ R by means of 15, Corollary 13.3.1 . The terminology “cofinite” is renewed as “coercive” in 16, 3.26 Theorem . Now we take a look at Atteia and Raı̈ssouli 11, Proposition 4.4 with a refined proof. Proposition 2.1 See Atteia and Raı̈ss...

A Note on the Weighted Harmonic–geometric–arithmetic Means Inequalities

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 (201...

Sharp Bounds by the Generalized Logarithmic Mean for the Geometric Weighted Mean of the Geometric and Harmonic Means

Optimal Inequalities between Harmonic, Geometric, Logarithmic, and Arithmetic-Geometric Means

The matrix arithmetic-geometric mean inequality revisited