Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2015-01-01

Journal: JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS

Included Journals: Scopus、SCIE

Volume: 8

Issue: 6,SI

Page Number: 1070-1081

ISSN: 2008-1898

Key Words: Hermite-Hadamard type inequality; operator s-convex function; operator preinvex function; operator s-preinvex function

Abstract: In this paper, we introduce the concept of operator s-preinvex function, establish some new Hermite-Hadamard type inequalities for operator s-preinvex functions, and provide the estimates of both sides of Hermite-Hadamard type inequality in which some operator s-preinvex functions of positive selfadjoint operators in Hilbert spaces are involved. (C) 2015 All rights reserved.