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Bernstein Operators and Their Properties pp 359–369Cite as

Birkhäuser

Iterates of Bernstein Polynomials

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Abstract

For f ∈ C[0, 1] and \(n,j \in \mathbb{N}\), one has

$$\displaystyle{B_{n}^{j}(\,f,x) =\sum \limits _{ k=0}^{n}(\lambda _{ n,k})\,^{j}P_{ n,k}^{{\ast}}\mu _{ k}^{(n)}(\,f).}$$

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  1. Facultad de Ciencias Físico-Matemáticas, Benemerita Universidad Autonoma de Puebla, Puebla, Mexico

    Jorge Bustamante

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  1. Jorge Bustamante
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Bustamante, J. (2017). Iterates of Bernstein Polynomials. In: Bernstein Operators and Their Properties. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-55402-0_8

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