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

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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… Click to show full abstract

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.

Keywords: inequality; inequalities interpolation; mean inequalities; arithmetic mean; quasi arithmetic

Journal Title: Journal of Mathematical Inequalities
Year Published: 2019

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