14 citations · 14 across the 6 of their papers we have counts for
7 papers
-Theory and Noncommutative Geometry in Quantum Harmonic Analysis
Saeed Hashemi Sababe, Ismail Nikoufar
Quantum harmonic analysis extends classical harmonic analysis by integrating quantum mechanical observables, replacing functions with operators and classical convolution structures…
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…
Conditional -convexity with applications
Ismail Nikoufar, Davuod Saeedi
In this paper, we introduce the notion of conditional -convex functions and we prove an operator version of the Jensen inequality for conditional -convex functions. Using thi…
Operator inequalities associated with the Kantrovich type inequalities for -convex functions
Ismail Nikoufar, Davuod Saeedi
In this paper, we prove some operator inequalities associated with an extension of the Kantorovich type inequality for -convex function. We also give an application to the order…
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…
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…
Sharp Continuity Bounds for Entropy and Conditional Entropy
Zhihua Chen, Zhihao Ma, Ismail Nikoufar +1
The Renyi entropy plays an essential role in quantum information theory. We study the continuity estimation of the Renyi entropy. An inequality relating the Renyi entropy differenc…