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arxiv: 1204.0923 · v2 · pith:JNMHLRHQnew · submitted 2012-04-04 · 🧮 math.FA

On Hermite-Hadamard Type Integral Inequalities for Functions Whose Second Derivative are nonconvex

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keywords phi-convexfunctionsnonconvexsecondtypewhoseabsolutederivative
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In this paper, we extend some estimates of the right hand side of a Hermite- Hadamard type inequality for nonconvex functions whose second derivatives absolute values are \phi-convex, log-\phi-convex, and quasi-\phi-convex.

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