Parametric approximation of piecewise analytic functions (Q753049)
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scientific article; zbMATH DE number 4180009
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parametric approximation of piecewise analytic functions |
scientific article; zbMATH DE number 4180009 |
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Parametric approximation of piecewise analytic functions (English)
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1990
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The paper concerns error estimation for parametric approximation of piecewise analytic functions. The author proves for the best parametric approximation of order n the estimate \(\epsilon_ n(f)=O(e^{-c.n/\ln n})\) where c is a constant. This result is an improvement on the result of \textit{G. L. Iliev} [PLISKA, Stud. Math. Bulg. 1, 93-99 (1977; Zbl 0493.41028)].
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approximation by polynomials
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degree of approximation
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error estimation
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