More precise estimates for the Jensen operator inequality obtained via the Lah-Ribaric inequality

摘要

In this article we establish several converses of the Jensen operator inequality. The obtained inequalities are related with the usual convexity instead of operator convexity, and are derived by virtue of the improved version of the Lah-Ribaric. inequality. First we give our general results, some of which improve some recent results known from the literature. The general results are then applied to quasi-arithmetic and power operator means. (C) 2014 Elsevier Inc. All rights reserved.