Operator P-class functions

被引：6

作者：

Bakherad, Mojtaba ^{[1
]}

Abbas, Hassane ^{[2
]}

Mourad, Bassam ^{[2
]}

Moslehian, Mohammad Sal ^{[3
]}

机构：

[1] Univ Sistan & Baluchestan, Dept Math, Zahedan, Iran

[2] Lebanese Univ, Fac Sci, Dept Math, Beirut, Lebanon

[3] Ferdowsi Univ Mashhad, Dept Pure Math, Ctr Excellence Anal Algebra Struct CEAA, Mashhad, Iran

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

P-class function; Jensen operator inequality; positive linear map; Hermite-Hadamard inequality; QUASI-CONVEX FUNCTIONS; INEQUALITY;

D O I：

10.1186/1029-242X-2014-451

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：8

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