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Trapezium-like Inequalities Involving k-th Order Differentiable R<inf>γ</inf>-Convex Functions and Applications

Abstract:

We introduce the class of Rγ-convex functions and discuss that it relates to some other classes of convexity. We study the class of Rγ-convex functions in the perspective of trapezium-like inequalities, for which we also derive a new integral identity involving a k-th order differentiable function. In order to show the significance of our results, we also discuss several special cases and offer some interesting applications.