On the best approximation of functions of many variables by algebraic polynomials (Q2785850)
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scientific article; zbMATH DE number 982580
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the best approximation of functions of many variables by algebraic polynomials |
scientific article; zbMATH DE number 982580 |
Statements
8 July 1997
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approximation of non-periodic functions
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On the best approximation of functions of many variables by algebraic polynomials (English)
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The author considers problems concerning the approximation of non-periodic functions of \(N\) variables by algebraic polynomials. For this purpose he introduces the notation of \(k\)-th difference that characterizes the smoothness of functions of \(N\) variables. Utilizing this he proves several interesting theorems pertaining to the relations between the structural properties of non-periodic functions of \(N\) variables and their best approximation by algebraic polynomials.
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