On the complexity of approximate realization for classes of functions of several variables by schemes and formulas in bases of continuous functions (Q1117414)
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scientific article; zbMATH DE number 4092065
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the complexity of approximate realization for classes of functions of several variables by schemes and formulas in bases of continuous functions |
scientific article; zbMATH DE number 4092065 |
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On the complexity of approximate realization for classes of functions of several variables by schemes and formulas in bases of continuous functions (English)
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1986
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Continuing a series of papers on the complexity of the approximative representations, the author considers here the approximative representation of continuous multivariate functions by schemata and formulae using bases of continuous functions. The bases are build up from the functions: x-y, xy, \(| x|\), \(\cos x\), \(1/2\). Asymptotic estimates are given for the derived approximations. The representation is technical. It begins with more than ten definitions using quantors.
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approximative representations
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multivariate functions
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Asymptotic estimates
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