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Quasilinearity of some composite functionals with applications

Dragomir, Sever S (2011) Quasilinearity of some composite functionals with applications. Bulletin of the Australian Mathematical Society, 83 (1). pp. 108-121. ISSN 1446-7887 (print) 1446-8107 (online)

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Abstract

The quasilinearity of certain composite functionals defined on convex cones in linear spaces is investigated. Applications in refining the Jensen, Hölder, Minkowski and Schwarz inequalities are given.

Item Type: Article
Uncontrolled Keywords: ResPubID22817, additive, superadditive and subadditive functionals, convex functions, Jensen’s inequality, Hölder’s inequality, Minkowski’s inequality, Schwarz’s inequality
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0802 Computation Theory and Mathematics
SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Faculty/School/Research Centre/Department > School of Engineering and Science
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Depositing User: VUIR
Date Deposited: 05 Jul 2012 03:20
Last Modified: 05 Jul 2012 03:20
URI: http://vuir.vu.edu.au/id/eprint/7885
DOI: 10.1017/S0004972710000444
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Citations in Scopus: 4 - View on Scopus

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