Korovkin-type theorems for abstract modular convergence
Functional Analysis
2021-01-15 v1
Abstract
We give some Korovkin-type theorems on convergence and estimates of rates of approximations of nets of functions, satisfying suitable axioms, whose particular cases are filter/ideal convergence, almost convergence and triangular A-statistical convergence, where A is a non-negative summability method. Furthermore, we give some applications to Mellin-type convolution and bivariate Kantorovich-type discrete operators.
Cite
@article{arxiv.2101.05341,
title = {Korovkin-type theorems for abstract modular convergence},
author = {Antonio Boccuto and Xenofon Dimitriou},
journal= {arXiv preprint arXiv:2101.05341},
year = {2021}
}