Some Perturbed Trapezoid Inequalities for n-times Differentiable Strongly log-Convex Functions

The aim of this study is to introduce some inequalities for n-times differentiable strongly log-convex functions. The perturbed trapezoid inequality is used to establish the new inequalities. It is seen that these inequalities have a better upper bound than the inequalities obtained for log-convex functions. Besides, the mentioned inequalities for strongly log-convex functions are reduced to the ones given for log-convex functions with a suitable choice of the arbitrary constant.

Keywords:

Convex function, log-convex function strongly log-convex function, perturbed trapezoid inequalities.,

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