3 papers
math.FA2024
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,…
math.FA2020
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…
math.FA2018
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…