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

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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)

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.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/8898
DOI	10.1017/S0004972710002054
Official URL	https://www.cambridge.org/core/journals/bulletin-o...
Subjects	Historical > Faculty/School/Research Centre/Department > School of Engineering and Science Historical > FOR Classification > 0102 Applied Mathematics Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Keywords	ResPubID22964, convex functions, Gâteaux derivatives, Jensen’s inequality, norms, meanf-deviations, f-divergence measures
Citations in Scopus	11 - View on Scopus
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