Approximation of unbounded functions by a new sequence of linear positive operators (Q1270695)
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scientific article; zbMATH DE number 1218244
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of unbounded functions by a new sequence of linear positive operators |
scientific article; zbMATH DE number 1218244 |
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Approximation of unbounded functions by a new sequence of linear positive operators (English)
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4 August 1999
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The paper is concerned with monotone operators applied to functions in \(C[0, \infty)\) for which \((1+t)^{-\alpha} | f(t)| \) is bounded. They are given in terms of Bernstein polynomials. Specifically, an integral with weight \(p_{n,k-1}\) determines the coefficient of \(p_{n,k}\).
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positive operators
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Bernstein polynomials
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0.9681095
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0.9284455
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0.9268455
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0.92404366
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