Bounds for the normalised Jensen functional

2006/12/01 by Sever S. Dragomir, Sever S Dragomir · 8 citations
Mathematics · Decision Sciences · #Mathematical Inequalities and Applications #Functional Equations Stability Results #Multi-Criteria Decision Making

paper · pdf · doi:10.1017/s000497270004051x

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.

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• Sharp bounds for the difference between the arithmetic and geometric means
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• On f -Divergences: Integral Representations, Local Behavior, and Inequalities. [europepmc]
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