Bernstein-type operators diminish the \(\varphi\)-variation (Q1357541)
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scientific article; zbMATH DE number 1019679
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bernstein-type operators diminish the \(\varphi\)-variation |
scientific article; zbMATH DE number 1019679 |
Statements
Bernstein-type operators diminish the \(\varphi\)-variation (English)
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28 September 1997
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The variation diminishing property of classical Bernstein operators is a well-known result. In the present paper, using a probabilistic approach, this result is extended to a large class of Bernstein-type operators, all diminishing the total and the fine \(\varphi\)-variation.
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approximation by positive operators
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Bernstein-type operators
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probabilistic methods
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