Refinements of Hermite-Hadamard type inequalities for operator convex functions

Journal of inequalities and applications

Vildan Bacak¹ 

关键词: Hermite-Hadamard inequality;    operator convex functions;    self-adjoint operators;   

DOI  :  10.1186/1029-242X-2013-262

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this paper is to present some new versions of Hermite-Hadamard type inequalities for operator convex functions. We give refinements of Hermite-Hadamard type inequalities for convex functions of self-adjoint operators in a Hilbert space analogous to well-known inequalities of the same type. The results presented in this paper are more general than known results given by several authors. MSC:26D15, 47A63.

【 授权许可】

CC BY