The aim of this study is to examine certain open three-point Newton–Cotes-type inequalities for differentiable generalized $s$-convex functions on a fractal set. To begin, we introduce a novel parametrized identity involving the relevant formula, which yields various new findings as well as previously established ones. Finally, an example is given to demonstrate the accuracy of the new results and their graphical depiction. Moreover, we emphasize the applications of the results obtained.

中文翻译：

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分形集上一些新的参数化不等式

本研究的目的是检验可微广义广义开放三点 Newton-Cotes 型不等式$s$-分形集上的凸函数。首先，我们引入了一种涉及相关公式的新颖的参数化恒等式，它产生了各种新的发现以及先前建立的发现。最后，给出了一个例子来证明新结果及其图形描述的准确性。此外，我们强调所获得结果的应用。