In this paper, we extend the classical Korovkin theorems to the framework of comonotone additive, sublinear, and monotone operators. Based on the theory of Choquet capacities, several concrete examples illustrating our results are also discussed.

中文翻译：

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Korovkin定理的非线性扩展

在本文中，我们将经典的Korovkin定理扩展到共单调加性，亚线性和单调算子的框架。基于Choquet容量的理论，还讨论了几个具体实例来说明我们的结果。