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On Some Operator Inequalities with Respect to the $s$-Convexity
Lahcen Tarik
,
Mustapha Raïssouli
,
Mohamed Chergui
,
Bouazza El Wahbi
Abstract
In this paper, we extend the concept of s-convexity from the case where the functions are with real variables to the case where the functions are with operator arguments. Afterwards, we investigate some related properties and operator inequalities. As an application, some inequalities of Hermite-Hadamard and Jensen types involving some operator means are established.