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arxiv: 1203.5497 · v3 · pith:BQR5QMYZnew · submitted 2012-03-25 · 🧮 math.FA

On Hermite Hadamard-type inequalities for strongly {φ}-convex functions

classification 🧮 math.FA
keywords functionsconvexstronglyvarphihadamard-typehermiteinequalitiesnotion
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In this paper, we introduce the notion of strongly {\varphi}-convex functions with respect to c>0 and present some properties and representation of such functions. We obtain a characterization of inner product spaces involving the notion of strongly {\varphi}-convex functions. Finaly, a version of Hermite Hadamard-type inequalities for strongly {\varphi}-convex functions are established.

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