T. Dinh

activity

20172026

most citedSome inequalities for operator (p,h)-convex functions

7 citations · 8 across the 15 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.FA2018

On the Pólya-Szegö operator inequality

Trung Hoa Dinh, Hamid Reza Moradi, Mohammad Sababheh

In this paper, we present generalized Pólya-Szegö type inequalities for positive invertible operators on a Hilbert space for arbitrary operator means between the arithmetic and the…

math.FA2018

New characterizations of operator monotone functions

Trung Hoa Dinh, Raluca Dumitru, Jose Franco

If $σ$ is a symmetric mean and $f$ is an operator monotone function on $[0, \infty)$ , then $f (2 (A^{- 1} + B^{- 1})^{- 1}) \leq f (A σ B) \leq f ((A + B) /2) .$ Conversely, Ando and Hiai showed th…