In this study, the Brunn-Minkowski inequality for boxes is studied and a sharper version of this inequality is derived by performing the results based on abstract convexity.
In this paper, the Hermite-Hadamard inequality for p−convex function is provided. Some integral inequalities for them are also presented. Also, based on the integral and double integral of p−convex sets, the new functions are defined and under certain conditions, p−convexity of these functions are shown. Some inequalities for these functions are expressed.
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