Asymptotic dynamics of generalized Kantorovich operators

Published 12 Mar 2024 in math.PR and math.FA | (2403.07633v1)

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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