Quantitative estimates of convergence in nonlinear operator extensions of Korovkin's theorems
Functional Analysis
2024-04-18 v1
Abstract
This paper is aimed to prove a quantitative estimate (in terms of the modulus of continuity) for the convergence in the nonlinear version of Korovkin's theorem for sequences of weakly nonlinear and monotone operators defined on spaces of continuous real functions. Several examples illustrating the theory are included.
Keywords
Cite
@article{arxiv.2302.04779,
title = {Quantitative estimates of convergence in nonlinear operator extensions of Korovkin's theorems},
author = {Sorin G. Gal and Constantin P. Niculescu},
journal= {arXiv preprint arXiv:2302.04779},
year = {2024}
}
Comments
10 pages