Refinements of Hermite-Hadamard inequality for operator convex function

The Journal of Nonlinear Sciences and its Applications

JianShi¹  JunminHan² 

[1] College of Mathematics and Information Science, Hebei University, Baoding, 071002, P. R. China;School of Mathematics and Information Science, Weifang University, Weifang, 261061, P. R. China

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

DOI  :  10.22436/jnsa.010.11.38

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

In this paper, we present several operator versions of the Hermite-Hadamard inequality for the operator convex function, which are refinements of some operator convex inequalities presented by Dragomir [S. S. Dragomir, Appl. Math. Comput., \({\bf 218}\) (2011), 766--772] and [S. S. Dragomir, RGMIA Research Report Collection, \({\bf 2016}\) (2016), 15 pages].

【 授权许可】

Unknown