A note on the fixed points of positive linear operators (Q1697438)
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scientific article; zbMATH DE number 6840977
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the fixed points of positive linear operators |
scientific article; zbMATH DE number 6840977 |
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A note on the fixed points of positive linear operators (English)
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20 February 2018
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The main result of the paper is the following Theorem: There exists no positive linear analytic operator \(L : C[0,1] \to C[0,1]\) preserving the monomial functions \(x^{i}\) and \(x^{j},\) where \(0 < i < j\) are given integers.
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Bernstein operators
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positive linear operators
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fixed points
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Korovkin systems
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