Generalization of S. N. Bernshtein's parametric method (Q797071)
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scientific article; zbMATH DE number 3867926
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalization of S. N. Bernshtein's parametric method |
scientific article; zbMATH DE number 3867926 |
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Generalization of S. N. Bernshtein's parametric method (English)
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1983
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Necessary and sufficient differentiability conditions for the polynomial \(P_ n(t,x)\) and the value of the best approximation E(t) of functions \(tr(x)+(1-t)s(x)\) (\(t\in [0,1]\), r,\(s\in C[a,b])\) by Chebyshev polynomials in the nonsymmetrical uniform norm are investigated. A certain statement about the operator of best approximation of continuous functions is proved.
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differentiability conditions
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Chebyshev polynomials
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