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Indexed by:期刊论文

Date of Publication:2015-01-01

Journal:JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS

Included Journals:SCIE、Scopus

Volume:8

Issue:6,SI

Page Number:1070-1081

ISSN No.: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.