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6 papers · 1 filter
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…
Exponential inequalities for positive linear mappings
M. Sababheh, H. R. Moradi, S. Furuichi
In this article, we present exponential-type inequalities for positive linear mappings and Hilbert space operators, by means of convexity and the Mond-Pe\v carić method. The obtain…
New sharp inequalities for operator means
Shigeru Furuichi, Hamid Reza Moradi, Mohammad Sababheh
New sharp multiplicative reverses of the operator means inequalities are presented, with a simple discussion of squaring an operator inequality. As a direct consequence, we extend…
Quadratic interpolation of the Heinz means
Fuad Kittaneh, Mohammad Sal Moslehian, Mohammad Sababheh
The main goal of this article is to present several quadratic refinements and reverses of the well known Heinz inequality, for numbers and matrices, where the refining term is a qu…
Norm inequalities related to the Heron and Heinz means
Y. Kapil, C. Conde, M. S. Moslehian +2
In this article, we present several inequalities treating operator means and the Cauchy-Schwarz inequality. In particular, we present some new comparisons between operator Heron an…
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…