The Inequalities for Quasiarithmetic Means-Reference-Cited by-同舟云学术

The Inequalities for Quasiarithmetic Means

Published:2012 Issue: Volume:2012 Page:1-25
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Mićić Jadranka¹,Pavić Zlatko²,Pečarić Josip³

Affiliation:

1. Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Ivana Lučića 5, 10000 Zagreb, Croatia

2. Mechanical Engineering Faculty, University of Osijek, Trg Ivane Brlić Mažuranić 2, 35000 Slavonski Brod, Croatia

3. Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovića 30, 10000 Zagreb, Croatia

Abstract

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/203145.pdf

Reference8 articles.

1. Jensen’s inequality for operators without operator convexity

2. Extension of Jensen's Inequality for Operators without Operator Convexity

3. A schwarz inequality for positive linear maps on $C^{\ast}$-algebras

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