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izvorni znanstveni rad · 2019

An interpolation of Jensen’s inequality and its converses with applications to quasi-arithmetic mean inequalities

dr. sc. Jadranka Mićić Hot, prof. v. š.

Sažetak

In this paper, we show an interpolation of Davis- Choi-Jensen operator inequality and the converse inequality for Hilbert space operators. As applications, we obtain an interpolation of quasi- arithmetic mean inequalities and the converse inequalities.

Ključne riječi

Jensen's inequality converse of Jensen's inequality positive linear mapping : convex function quasi-arithmetic mean