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Cauchy-Schwartz Functionals

Cho, Yeol Je and Dragomir, Sever S and Pearce, Charles (2000) Cauchy-Schwartz Functionals. RGMIA reserch report collection, 3 (1).

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Abstract

We treat a class of functionals which satisfy the Cauchy–Schwarz inequality. This appears to be a natural unifying concept and subsumes inter alia isotonic linear functionals and sublinear positive isotonic functionals. Striking superadditivity and monotonicity properties are derived.

Item Type: Article
Uncontrolled Keywords: Cauchy–Schwarz inequality, sublinear functionals, superad-ditivity, monotonicity, isotonic linear functionals
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 19 Jul 2012 02:37
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17282
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