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Nonlinear versions of Korovkin's abstract theorems

Functional Analysis 2021-03-08 v1

Abstract

In this paper we prove Korovkin type theorems for sequences of sublinear, monotone and weak additive operators acting on function spaces C(X); where X is a compact or a locally compact metric space. Our results are illustrated by a series of examples

Keywords

Cite

@article{arxiv.2103.03661,
  title  = {Nonlinear versions of Korovkin's abstract theorems},
  author = {Sorin G. Gal and Constantin P. Niculescu},
  journal= {arXiv preprint arXiv:2103.03661},
  year   = {2021}
}

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17 pages