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arxiv: 1502.07859 · v1 · pith:B3DIOTWAnew · submitted 2015-02-27 · 🧮 math.CA

On the Jensen functional and superquadraticity

classification 🧮 math.CA
keywords functionalgivejensenresultssuperquadraticityanalogueboundschebychev
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In this note we give a recipe which describes upper and lower bounds for the Jensen functional under superquadraticity conditions. Some results involve the Chebychev functional. We give a more general definition of these functionals and establish the analogue results.

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