Approximate computation of integrals for functions in \(W_p^\alpha [0,1]^n\) (Q2759268)
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scientific article; zbMATH DE number 1681673
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximate computation of integrals for functions in \(W_p^\alpha [0,1]^n\) |
scientific article; zbMATH DE number 1681673 |
Statements
29 May 2003
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measurable function
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quadrature formula
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Approximate computation of integrals for functions in \(W_p^\alpha [0,1]^n\) (English)
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The paper is structured in two parts. In the first part the authors present quadrature formulas which are exact for trigonometric polynomials within certain hyperbolic crosses. The second part is devoted to the approximation of integrals of functions belonging to the space \(W_p^\alpha[0,1]^n\), for \(\alpha\leq 1/p\).
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