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
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@article{paperid:1046649,
author = {M. Bakherad and H. Abbas and B. Mourad and Sal Moslehian, Mohammad},
title = {Operator P-class functions},
journal = {Journal of Inequalities and Applications},
year = {2014},
volume = {2014},
number = {451},
month = {December},
issn = {1029-242X},
pages = {1--8},
numpages = {7},
keywords = {P-class function; Jensen operator inequality; positive linear map; Hermite-Hadamard inequality},
}

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%0 Journal Article
%T Operator P-class functions
%A M. Bakherad
%A H. Abbas
%A B. Mourad
%A Sal Moslehian, Mohammad
%J Journal of Inequalities and Applications
%@ 1029-242X
%D 2014

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