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arxiv: 1406.5409 · v1 · pith:5UDIMIVNnew · submitted 2014-06-19 · 🧮 math.CA

Inequalities of Hermite-Hadamard type for extended s-convex functions and applications to means

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keywords inequalitiesfunctionsconvexextendedhermite-hadamardmeanssometype
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In the paper, the authors introduce a new concept "extended $s$-convex functions", establish some new integral inequalities of Hermite-Hadamard type for this kind of functions, and apply these inequalities to derive some inequalities of special means.

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