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QUASILINEARITY OF SOME COMPOSITE FUNCTIONALS WITH APPLICATIONS

Part of: Inequalities

Published online by Cambridge University Press:  17 September 2010

S. S. DRAGOMIR
S. S. DRAGOMIR*
Affiliation:
Mathematics, School of Engineering & Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag-3, Wits-2050, Johannesburg, South Africa (email: sever.dragomir@vu.edu.au)
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Abstract

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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.

Keywords

additivesuperadditive and subadditive functionalsconvex functionsJensen’s inequalityHölder’s inequalityMinkowski’s inequalitySchwarz’s inequality

MSC classification

Secondary: 26D15: Inequalities for sums, series and integrals
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 83 , Issue 1 , February 2011 , pp. 108 - 121
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

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