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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

Jakšić, Rozarija ; Krnić, Mario ; Pečarić, Josip More precise estimates for the Jensen operator inequality obtained via the Lah-Ribarič inequality // Applied mathematics and computation, 249 (2014), 346-355. doi: 10.1016/j.amc.2014.10.035

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

Povezanost rada

Matematika

Poveznice
Indeksiranost