On the complexity of the approximate realization of certain classes of differentiable functions of one variable by formulas in certain continuous bases (Q1071981)
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scientific article; zbMATH DE number 3939923
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the complexity of the approximate realization of certain classes of differentiable functions of one variable by formulas in certain continuous bases |
scientific article; zbMATH DE number 3939923 |
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On the complexity of the approximate realization of certain classes of differentiable functions of one variable by formulas in certain continuous bases (English)
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1984
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We find order-exact upper and lower estimates for the complexity of the approximate ''formula'' realization of classes of functions having derivatives of a given order and satisfying the Hölder condition with given parameters. The formulas are contructed in certain finite bases consisting of polynomials and piecewise-linear functions.
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order-exact estimates
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Hölder condition
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