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arXiv · 2403.07633

Asymptotic dynamics of generalized Kantorovich operators

Krzysztof Bartoszek·Wojciech Bartoszek
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Abstract

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

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Krzysztof Bartoszek, Wojciech Bartoszek. 2024-03-12. Asymptotic dynamics of generalized Kantorovich operators. https://doi.org/10.1007/s00025-024-02348-4

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