1 citations · 1 across the 5 of their papers we have counts for
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On a binary operation for positive operators
Shigeru Furuichi, Hamid Reza Moradi, Cristian Conde +1
M. Lin defined a binary operation for two positive semi-definite matrices in studying certain determinantal inequalities that arise from diffusion tensor imaging. This operation en…
Operator convex functions and their applications
V. Kaleibary, M. R. Jabbarzadeh, S. Furuichi
In this paper, we introduce operator geodesically convex and operator convex-log functions and characterize some properties of them. Then apply these classes of functions to presen…
A new treatment of convex functions
M. Sababheh, S. Furuichi, H. R. Moradi
Convex functions have played a major role in the field of Mathematical inequalities. In this paper, we introduce a new concept related to convexity, which proves better estimates w…
New Inequalities of the Kantorovich Type With Two Negative Parameters
S. Furuichi, H. R. Moradi
We show the following result: Let be two strictly positive operators such that and $m{\mathbf{1}_{\mathcal{H}}}\le B\le M{\ma…
On the Operator Jensen-Mercer Inequality
H. R. Moradi, S. Furuichi, M. Sababheh
Mercer inequality for convex functions is a variant of Jensen's inequality, with an operator version that is still valid without operator convexity. This paper is two folded. First…