Journal of Inequalities and Applications, Volume (2014), No (451), Year (2014-12) , Pages (1-8)

Title : ( Operator P-class functions )

Authors: M. Bakherad , H. Abbas , B. Mourad , Mohammad Sal Moslehian ,
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Abstract

We introduce and investigate the notion of an operator P-class function. We show that every nonnegative operator convex function is of operator P-class, but the converse is not true in general. We present some Jensen type operator inequalities involving P-class functions and some Hermite-Hadamard inequalities for operator P-class functions.

Keywords

, P, class function; Jensen operator inequality; positive linear map; Hermite, Hadamard inequality