Superadditivity of some functionals associated with Jensen's inequality for convex functions on linear spaces with applications

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Dragomir, Sever S (2010) Superadditivity of some functionals associated with Jensen's inequality for convex functions on linear spaces with applications. Bulletin of the Australian Mathematical Society, 82 (1). pp. 44-61. ISSN 00049727

Abstract

Some new results related to Jensen's celebrated inequality for convex functions defined on convex sets in linear spaces are given. Applications for norm inequalities in normed linear spaces and f-divergences in Information Theory are provided as well.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/7146
DOI	10.1017/S0004972709001105
Subjects	Historical > Faculty/School/Research Centre/Department > School of Engineering and Science Historical > FOR Classification > 0102 Applied Mathematics
Keywords	ResPubID21609, convex functions, Jensen’s inequality, norms, mean f-deviation, f-divergences
Citations in Scopus	5 - View on Scopus
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