17 citations · 19 across the 5 of their papers we have counts for
7 papers
On completely monotonic functions
Mostafa Najafi, Ali Morassaei
Let be a completely monotonic function. In this paper, we present some properties of this functions and several new classes of completely monoto…
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,…
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…
Some extensions of the operator entropy type inequalities
Mojtaba Bakherad, Ali Morassaei
In this paper, we establish some reverses of the operator entropy inequalities under certain conditions by using the Mond-Pečarić method. In particular, we present {\tiny \begin{al…
Some operator Bellman type inequalities
Mojtaba Bakherad, Ali Morassaei
In this paper, we employ the Mond--Pečarić method to establish some reverses of the operator Bellman inequality under certain conditions. In particular, we show \begin{equation*} δ…
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…