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

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Hacettepe Journal of Mathematics and Statistics
Volume:44 Issue:5
On some new converses of the Jensen and the Lah-Ribarič operator inequality

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

Authors : Rozarija JAKŠİĆ, Mario KRNİĆ, Josip PEČARİĆ

Pages : 1045-1055

View : 48 | Download : 11

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

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