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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. for all x, y ∈ [0, ∞) and α ∈ [0, 1]. (2000) : 26D07, 26D15. Mathematics subject classificationdoi:10.7153/jmi-02-30 fatcat:nttr2euorjhsfloqohoepvs6dm