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arxiv: 1507.05304 · v1 · pith:7JEQ35TFnew · submitted 2015-07-19 · 🧮 math.CA

New extensions of Popoviciu's inequality

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keywords inequalitypopoviciuapplicationsconvexityextendedextensionsframeworkh-convexity
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Popoviciu's inequality is extended to the framework of h-convexity and also to convexity with respect to a pair of quasi-arithmetic means. Several applications are included.

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