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arxiv: 1112.6176 · v1 · pith:GI52CZ3Ynew · submitted 2011-12-28 · 🧮 math.CA

The Hermite-Hadamard's inequality for some convex functions via fractional integrals and related results

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keywords fractionalfunctionsintegralshermite-hadamardinequalitysomeconvexestablished
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In this paper, firstly we have established Hermite-Hadamard's inequalities for s-convex functions in the second sense and m-convex functions via fractional integrals. Secondly, a Hadamard type integral inequality for the fractional integrals are obtained and these result have some relationships with KBOP.

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