1 citations · 2 across the 4 of their papers we have counts for
10 papers
How type of Convexity of the Core function affects the Csiszár -divergence functional
Mohsen Kian
We investigate how the type of Convexity of the Core function affects the Csiszár -divergence functional. A general treatment for the type of convexity has been considered and t…
Jointly convex mappings related to the Lieb's functional and Minkowski type operator inequalities
Mohsen Kian, Yuki Seo
Employing the notion of operator log-convexity, we study joint concavity convexity of multivariable operator functions: ,…
Klein's trace inequality and superquadratic trace functions
Mohsen Kian, Mohammad W. Alomari
We show that if is a non-negative superquadratic function, then is a superquadratic function on the matrix algebra. In particular, \begin{align*} \tr…
Matricial Radius: A Relation of Numerical radius with Matricial Range
Mohsen Kian, Mahdi Dehghani, Mostafa Sattari
It has been shown that if is a complex matrix, then {\small\begin{align*} ω(T)&=\frac{1}{n}\sup\left\{|\mathrm{Tr}\ X|;\ X\in W^n(T)\right\}\\ &=\frac{1}{n}\sup\left\{\|X\|_1;\…
Variants of Ando--Hiai type inequalities for deformed means and applications
Mohsen Kian, M. S. Moslehian, Yuki Seo
For an -tuple of positive invertible operators on a Hilbert space, we present some variants of Ando--Hiai type inequalities for deformed means from an -variable operator mean…
Positivity of block matrices of operators
Mohammad Sal Moslehian, Mohsen Kian, Qingxiang Xu
We review some of the significant generalizations and applications of the celebrated Douglas theorem on the equivalence of factorization, range inclusion, and majorization of opera…