More precise estimates for the Jensen operator inequality obtained via the Lah-Ribarič inequality (CROSBI ID 209656)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Jakšić, Rozarija ; Krnić, Mario ; Pečarić, Josip
engleski
More precise estimates for the Jensen operator inequality obtained via the Lah-Ribarič inequality
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-Ribarič 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.
Jensen operator inequality; Lah-Ribarič inequality; convexity; operator convexity; converse; refinement
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Podaci o izdanju
249
2014.
346-355
objavljeno
0096-3003
10.1016/j.amc.2014.10.035