3 papers
math.FA2022
Mond and Peari inequality for -convex functions with applications
Ismail Nikoufar, Davuod Saeedi
In this paper, we prove an operator version of the Jensen's inequality and its converse for -convex functions. We provide a refinement of the Jensen type inequality for -conv…
math.FA2020
Some inequalities for P-class functions
Ismail Nikoufar, Davuod Saeedi
In this paper, we provide some inequalities for -class functions and self-adjoint operators on a Hilbert space including an operator version of the Jensen's inequality and the H…
math.FA2017
Convexity of parameter extensions of some relative operator entropies with a perspective approach
Ismail Nikoufar
In this paper, we introduce two notions of a relative operator -entropy and a Tsallis relative operator -entropy as two parameter extensions of the relative operato…