A Nonlinear Extension of Korovkin's Theorem

Sorin G. Gal; Constantin Niculescu

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arXiv · 2003.00002

A Nonlinear Extension of Korovkin's Theorem

Sorin G. Gal·Constantin Niculescu

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Abstract

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.

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Sorin G. Gal, Constantin Niculescu. 2020-02-27. A Nonlinear Extension of Korovkin's Theorem. https://arxiv.org/abs/2003.00002

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