English

Asymptotic dynamics of generalized Kantorovich operators

Probability 2025-02-27 v1 Functional Analysis

Abstract

We characterize the family of continuous functions fC([0,1])f\in C([0,1]) such that the iterates T^ikf\widehat{T}^{k}_{i} f converge uniformly on [0,1][0,1], where T^i\widehat{T}_i is a generalized Kantorovich operator. This gives an affirmative answer to the problem raised in 2021 by Acu and Rasa.

Keywords

Cite

@article{arxiv.2403.07633,
  title  = {Asymptotic dynamics of generalized Kantorovich operators},
  author = {Krzysztof Bartoszek and Wojciech Bartoszek},
  journal= {arXiv preprint arXiv:2403.07633},
  year   = {2025}
}