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Extensions of interpolation between the arithmetic-geometric mean inequality for matrices
Mojtaba Bakherad, Rahmatollah Lashkaripour, Monire Hajmohamadi
In this paper, we present some extensions of interpolation between the arithmetic-geometric means inequality. Among other inequalities, it is shown that if are $n\times n…
Some generalizations of numerical radius on off-diagonal part of operator matrices
Monire Hajmohamadi, Rahmatollah Lashkaripour, Mojtaba Bakherad
We generalize several inequalities involving powers of the numerical radius for off-diagonal part of operator matrices of the form $T=\left[\begin{array}{cc} 0&B, C&0 \e…
Some extensions of the Young and Heinz inequalities for Matrices
Monire Hajmohamadi, Rahmatollah Lashkaripour, Mojtaba Bakherad
In this paper, we present some extensions of the Young and Heinz inequalities for the Hilbert-Schmidt norm as well as any unitarily invariant norm. Furthermore, we give some inequa…
Some inequalities of matrix power and Karcher means for positive linear maps
Rahmatollah Lashkaripour, Monire Hajmohamadi, Mojtaba Bakherad
In this paper, we generalize some matrix inequalities involving matrix power and Karcher means of positive definite matrices. Among other inequalities, it is shown that if ${\mathb…