Abstract and Applied Analysis

The Inequalities for Quasiarithmetic Means

Jadranka Mićić, Zlatko Pavić, and Josip Pečarić

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Overview and refinements of the results are given for discrete, integral, functional and operator variants of inequalities for quasiarithmetic means. The general results are applied to further refinements of the power means. Jensen's inequalities have been systematically presented, from the older variants, to the most recent ones for the operators without operator convexity.

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Abstr. Appl. Anal., Volume 2012 (2012), Article ID 203145, 25 pages.

First available in Project Euclid: 14 December 2012

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Mićić, Jadranka; Pavić, Zlatko; Pečarić, Josip. The Inequalities for Quasiarithmetic Means. Abstr. Appl. Anal. 2012 (2012), Article ID 203145, 25 pages. doi:10.1155/2012/203145. https://projecteuclid.org/euclid.aaa/1355495804

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