Bounds for the Normalised Jensen Functional

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

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
URI https://vuir.vu.edu.au/id/eprint/18012
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Jensen's inequality, convex functions
Citations in Scopus 100 - View on Scopus
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