D. T. Hoa

activity

20112016

collaborators

Showing 2016Show all

2 papers · 1 filter

math.FA2016

An extension of the Pólya--Szegö operator inequality

D. T. Hoa, M. S. Moslehian, C. Conde +1

We extend an operator Pólya--Szegö type inequality involving the operator geometric mean to any arbitrary operator mean under some mild conditions. Utilizing the Mond--Pečarić meth…

math.FA2016

Some inequalities for the matrix Heron mean

Dinh Trung Hoa

Let $A, B$ be positive definite matrices, $p = 1, 2$ and $r \geq 0$ . It is shown that \begin{equation*} ||A+ B + r(A\sharp_t B+A\sharp_{1-t} B)||_p \le ||A+ B + r(A^{t}B^{1-t} + A^{1-t…