Operator P -class functions

Journal of inequalities and applications

Mojtaba Bakherad¹ 

关键词: P-class function;    Jensen operator inequality;    positive linear map;    Hermite-Hadamard inequality;   

DOI  :  10.1186/1029-242X-2014-451

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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. MSC:47A63, 47A60, 26D15.

【 授权许可】

CC BY