Bounds for the Normalized Jensen Functional

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Dragomir, Sever S (2006) Bounds for the Normalized Jensen Functional. Bulletin of the Australian Mathematics Society, 74 (3). pp. 471-478. ISSN 0004-9727

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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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/2945
DOI	10.1017/S000497270004051X
Official URL	http://dx.doi.org/10.1017/S000497270004051X
Subjects	Historical > Faculty/School/Research Centre/Department > School of Engineering and Science Historical > FOR Classification > 0199 Other Mathematical Sciences Information Systems
Keywords	ResPubID10878, Jensen-Mercer functional, Jensen's inequality, convex functions, bounds
Citations in Scopus	113 - View on Scopus
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