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Abstract. In this paper, some inequalities Hadamard-type for h -convex functions are given. We also proved some Hadamard-type inequalities for products of two h -convex functions.Mathematics subject classification (2000): 26D07, 26D15.

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In this paper, we introduce a new approach on fractional integration, which generalizes the Riemann-Liouville fractional integral. We prove some properties for this new approach. We also establish some new integral inequalities using this new fractional integration.