182 citations · 325 across the 18 of their papers we have counts for
18 papers
Mathematical inequalities on some weighted means
Shigeru Furuichi, Kenjiro Yanagi, Hamid Reza Moradi
Some mathematical inequalities among various weighted means are studied. Inequalities on weighted logarithmic mean are given. Besides, the gap in Jensen's inequality is studied as…
Noncommutative versions of inequalities in quantum information theory
Ali Dadkhah, Mohammad Sal Moslehian, Kenjiro Yanagi
In this paper, we aim to replace in the definitions of covariance and correlation the usual trace {\rm Tr} by a tracial positive map between unital -algebras and to replace th…
Note on bounds for symmetric divergence measures
S. Furuichi, K. Yanagi, K. Kuriyama
I. Sason obtained the tight bounds for symmetric divergence measures are derived by applying the results established by G. L. Gilardoni. In this article, we are going to report two…
Bounds of the logarithmic mean
Shigeru Furuichi, Kenjiro Yanagi
We give tight bounds for logarithmic mean. We also give new Frobenius norm inequalities for two positive semidefinite matrices. In addition, we give some matrix inequalities on mat…
Generalized uncertainty relation associated with a monotone or anti-monotone pair skew information
Kenjiro Yanagi, Satoshi Kajihara
We give a trace inequality related to the uncertainty relation based on the monotone or anti-monotone pair skew information which is one of generalizations of result given by Ko an…
Schrödinger uncertainty relation, Wigner-Yanase-Dyson skew information and metric adjusted correlation measure
Shigeru Furuichi, Kenjiro Yanagi
In this paper, we give a Schrödinger-type uncertainty relation using the Wigner-Yanase-Dyson skew information. In addition, we give Schrödinger-type uncertainty relation by use of…