Quasilinearity of some composite functionals with applications

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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)

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.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/7885
DOI https://doi.org/10.1017/S0004972710000444
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0802 Computation Theory and Mathematics
Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Keywords ResPubID22817, additive, superadditive and subadditive functionals, convex functions, Jensen’s inequality, Hölder’s inequality, Minkowski’s inequality, Schwarz’s inequality, ResPubID21607
Citations in Scopus 4 - View on Scopus
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