Korovkin type theorems for weakly nonlinear and monotone operators
Functional Analysis
2022-06-29 v1
Abstract
In this paper we prove analogues of Korovkin's theorem in the context of weakly nonlinear and monotone operators acting on Banach lattices of functions of several variables. Our results concern the convergence almost everywhere, the convergence in measure and the convergence in -norm. Several results illustrating the theory are also included.
Cite
@article{arxiv.2206.14102,
title = {Korovkin type theorems for weakly nonlinear and monotone operators},
author = {Sorin G. Gal and Constantin P. Niculescu},
journal= {arXiv preprint arXiv:2206.14102},
year = {2022}
}
Comments
17 pages