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Bounds for the Normalised Jensen Functional

Dragomir, Sever S (2006) Bounds for the Normalised Jensen Functional. Research report collection, 9 (Supp).

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Abstract

New inequalities for the general case of convex functions defined on linear spaces which improve the famous Jensen’s inequality are established. Particular instances in the case of normed spaces and for complex and real n-tuples are given. Refinements of Shannon’s inequality and the positivity of Kullback-Leibler divergence are obtained.

Item Type: Article
Uncontrolled Keywords: Jensen's inequality, convex functions
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 11 Feb 2012 04:48
Last Modified: 23 May 2013 16:53
URI: http://vuir.vu.edu.au/id/eprint/18012
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Citations in Scopus: 33 - View on Scopus

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