Cauchy-Schwartz Functionals

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


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
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Cauchy–Schwarz inequality, sublinear functionals, superad-ditivity, monotonicity, isotonic linear functionals
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