English

Nonlinear operator extensions of Korovkin's theorems

Functional Analysis 2023-02-10 v1

Abstract

In this paper we extend Korovkin's theorem to the context of sequences of weakly nonlinear and monotone operators defined on certain Banach function spaces. Several examples illustrating the theory are included.

Keywords

Cite

@article{arxiv.2302.04786,
  title  = {Nonlinear operator extensions of Korovkin's theorems},
  author = {Sorin G. Gal and Constantin P. Niculescu},
  journal= {arXiv preprint arXiv:2302.04786},
  year   = {2023}
}

Comments

17 pages

R2 v1 2026-06-28T08:36:06.943Z