182 citations · 894 across the 84 of their papers we have counts for
86 papers
-deformed --Rényi relative entropy
Srikrishna Maity, Shigeru Furuichi, Supriyo Dutta
In this article, we consider the -logarithm for defining three-parameter family of Rényi relative entropies that are generalization of the --Rényi relative entropies. All…
Bounds for the reduced relative entropies
Shigeru Furuichi, Frank Hansen
A lower bound of the reduced relative entropy is given by the use of a variational expression. The reduced Tsallis relative entropy is defined and some results are given. In partic…
Wigner--Yanase--Dyson function and logarithmic mean
Shigeru Furuichi
The ordering between Wigner--Yanase--Dyson function and logarithmic mean is known. Also bounds for logarithmic mean are known. In this paper, we give two reverse inequalities for W…
Improvements of the weighted Hermite-Hadamard inequality and applications to mean inequality
Shigeru Furuichi, Nicuşor Minculete, Hamid Reza Moradi
This paper aims to characterize the function appearing in the weighted Hermite-Hadamard inequality. We provide improved inequalities for the weighted means as applications of the o…
Further Properties of Accretive Matrices
Hamid Reza Moradi, Shigeru Furuichi, Mohammad Sababheh
To better understand the algebra of all complex matrices, we explore the class of accretive matrices. This class has received renowned attention in rece…
Operator inequalities via the triangle inequality
Shigeru Furuichi, Mohammad Sababheh, Hamid Reza Moradi
This article improves the triangle inequality for complex numbers, using the Hermite-Hadamard inequality for convex functions. Then, applications of the obtained refinement are pre…