Abstract

Abstract In this study, some new inequalities for n-times differentiable strongly s-convex functions are introduced. These inequalities are obtained via the perturbed trapezoid inequality. We obtain a better bound for the mentioned inequalities with the strongly s-convex functions. nth derivatives of absolute values of the handled functions are strongly s-convex. Finally, the theorems presented for strongly s-convex functions are reduced to the ones given for s-convex functions when the constant from strongly s-convexity vanishes.

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