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2014 Inequalities for Convex Functions on Simplexes and Their Cones
Zlatko Pavić, Shanhe Wu
Abstr. Appl. Anal. 2014: 1-6 (2014). DOI: 10.1155/2014/690803


The aim of this paper is to present the fundamental inequalities for convex functions on Euclidean spaces. The work is based on the geometry of the simplest convex sets and properties of convex functions. Some obtained inequalities are applied to demonstrate a natural way of generalizing the Hermite-Hadamard inequality.


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Zlatko Pavić. Shanhe Wu. "Inequalities for Convex Functions on Simplexes and Their Cones." Abstr. Appl. Anal. 2014 1 - 6, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 1300.47025
MathSciNet: MR3275751
Digital Object Identifier: 10.1155/2014/690803

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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