Asymptotic dynamics of generalized Kantorovich operators
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866909511030145024 |
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| author | Bartoszek, Krzysztof Bartoszek, Wojciech |
| author_facet | Bartoszek, Krzysztof Bartoszek, Wojciech |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07633 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotic dynamics of generalized Kantorovich operators Bartoszek, Krzysztof Bartoszek, Wojciech Probability Functional Analysis 47A35, 47B65, 47D07, 60J05 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. |
| title | Asymptotic dynamics of generalized Kantorovich operators |
| topic | Probability Functional Analysis 47A35, 47B65, 47D07, 60J05 |
| url | https://arxiv.org/abs/2403.07633 |