- Hacettepe Journal of Mathematics and Statistics
- Vol: 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 Jakšić, Mario Krnić, Josip Pečarić
Pages : 1045-1055
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Publication Date : 2015-10-01
Article Type : Research
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