182 citations · 325 across the 18 of their papers we have counts for
6 papers · 1 filter
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…
Trace inequalities for products of matrices
Shigeru Furuichi, Ken Kuriyama, Kenjiro Yanagi
In this short paper, we study some trace inequalities of the products of the matrices and the power of matrices by the use of elementary calculations.
A note on operator inequalities of Tsallis relative operator entropy
Shigeru Furuichi, Kenjiro Yanagi, Ken Kuriyama
Tsallis relative operator entropy was defined as a parametric extension of relative operator entropy and the generalized Shannon inequalities were shown in the previous paper. Afte…
Generalized Shannon inequalities based on Tsallis relative operator entropy
Kenjiro Yanagi, Ken Kuriyama, Shigeru Furuichi
Tsallis relative operator entropy is defined and then its properties are given. Shannon inequality and its reverse one in Hilbert space operators derived by T.Furuta \cite{Fu:par}…
Tsallis relative operator entropy in mathematical physics
S. Furuichi, K. Yanagi, K. Kuriyama
Tsallis relative operator entropy is defined as a parametric extension of the relative operator entropy. Some properties of the Tsallis relative operator entropy are investigated.…