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Inequalities in terms of the gateaux derivatives for convex functions on linear spaces with applications

Dragomir, Sever S (2011) Inequalities in terms of the gateaux derivatives for convex functions on linear spaces with applications. Bulletin of the Australian Mathematical Society, 83. pp. 500-517. ISSN 0004-9727 (print) 1755-1633 (online)

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Abstract

Some inequalities in terms of the Gâteaux derivatives related to Jensen’s inequality for convex functions defined on linear spaces are given. Applications for norms, mean f-deviations and f-divergence measures are provided as well.

Item Type: Article
Uncontrolled Keywords: ResPubID22964, convex functions, Gâteaux derivatives, Jensen’s inequality, norms, meanf-deviations, f-divergence measures
Subjects: Faculty/School/Research Centre/Department > School of Engineering and Science
FOR Classification > 0102 Applied Mathematics
SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
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Depositing User: VUIR
Date Deposited: 23 Jul 2012 04:58
Last Modified: 23 Jul 2012 04:58
URI: http://vuir.vu.edu.au/id/eprint/8898
DOI: 10.1017/S0004972710002054
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Citations in Scopus: 2 - View on Scopus

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