On some new converses of the Jensen and the Lah-Ribarič operator inequality

Authors : Rozarija JAKŠİĆ, Mario KRNİĆ, Josip PEČARİĆ

Pages : 1045-1055

View : 14 | Download : 7

Publication Date : 2015-10-01

Article Type : Research Paper

Abstract :In this paper we study some new converses of the Jensen and the LahRibarič operator inequality regarding convex functions. First we give two series of converses in a general setting. The general results are then applied to quasi-arithmetic operator means with a particular emphasis to power operator means. The obtained results are also compared with some related results, known from the literature.
Keywords : Jensen operator inequality, Lah Ribarič operator inequality, con vexity, operator convexity, converse