A Nonlinear Extension of Korovkin's Theorem
Classical Analysis and ODEs
2020-09-15 v1
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.
Cite
@article{arxiv.2003.00002,
title = {A Nonlinear Extension of Korovkin's Theorem},
author = {Sorin G. Gal and Constantin Niculescu},
journal= {arXiv preprint arXiv:2003.00002},
year = {2020}
}
Comments
12 pages