Korovkin-type approximation results through summability methods in the Applied Science
Functional Analysis
2023-07-07 v1
Abstract
We present Korovkin approximation theorems that incorporate summability methods. These result allows us to obtain a unified treatment of several previous results, focusing on the underlying structure and the properties that a summability method should satisfy in order to establish a Korovkin-type approximation result. As a by-product we obtain new Korovkin-type results incorporating summability methods, for example for regular matrix convergence methods, convergence through ideals of natural numbers, etc, and we provide further directions and a preparation for questions which remain open.
Cite
@article{arxiv.2307.02515,
title = {Korovkin-type approximation results through summability methods in the Applied Science},
author = {M. del Carmen Listán-García and María Pilar Romero de la Rosa},
journal= {arXiv preprint arXiv:2307.02515},
year = {2023}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2307.02237