17 citations · 19 across the 7 of their papers we have counts for
7 papers
Some extensions from famous theorems for -mid-convex function
Amir Garejelo, Farzollah Mirzapour, Ali Morassaei
In this paper, we prove that every continuous -mid-convex with suitable conditions on is -convex function. Also, we extend Ostrowski theorem, Blumberg-Sierpinski theorem,…
Further properties of involutory and idempotent matrices
F. Mirzapour, A. Mirzapour
In this paper, we will derive the real roots of certain sets of matrices with real entries. We will also demonstrate that real orthogonal matrices can have real root or be involuto…
Some inequalities on -convex functions
M. Abbasi, A. Morassaei, F. Mirzapour
In this paper, we state some characterizations of -convex function is defined on a convex set in a linear space. By doing so, we extend the Jensen-Mercer inequality for -conv…
Alzer Inequality for Hilbert Spaces Operators
Ali Morassaei, Farzollah Mirzapour
In this paper, we give the Alzer inequality for Hilbert space operators as follows: Let be two selfadjoint operators on a Hilbert space such that $0 < A, B \le…
Operator equations and in Hilbert -modules
Z. Mousavi, R. Eskandari, M. S. Moslehian +1
Let and be adjointable operators on a Hilbert -module . Giving a suitable version of the celebrated Douglas theorem in the context of Hilbert -modu…
Operator Entropy Inequalities
A. Morassaei, F. Mirzapour, M. S. Moslehian
In this paper we investigate a notion of relative operator entropy, which develops the theory started by J.I. Fujii and E. Kamei [Math. Japonica 34 (1989), 341--348]. For two finit…
Bellman inequality for Hilbert space operators
A. Morassaei, F. Mirzapour, M. S. Moslehian
We establish some operator versions of Bellman's inequality. In particular, we prove that if is a unital positive linear ma…