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Abstract
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In this paper, we give some inequalities for differentiable convex mapping which are connected with the Hermite-Hadamard’s integral inequality holding for convex functions. Indeed, some new results involving the left-hand side of the Hermite-Hadamard type inequalities for the class of functions whose fourth derivatives in absolute value at certain powers are (α,m)-convex function are obtained. Finally, some natural applications to special of real numbers are given.
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