A note on the Choquet type operators
Classical Analysis and ODEs
2021-04-14 v2
Abstract
In this note the Choquet type operators are introduced, in connection to Choquet's theory of integrability with respect to a not necessarily additive set function. Based on their properties, a quantitative estimate for the nonlinear Korovkin type approximation theorem associated to Bernstein-Kantorovich-Choquet operators is proved. The paper also includes a large generalization of H\"{o}lder's inequality within the framework of monotone and sublinear operators acting on spaces of continuous functions.
Keywords
Cite
@article{arxiv.2004.07073,
title = {A note on the Choquet type operators},
author = {Sorin G. Gal and Constantin P. Niculescu},
journal= {arXiv preprint arXiv:2004.07073},
year = {2021}
}
Comments
13 pages