Optimal quadrature formulae on the real line (Q1191655)
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scientific article; zbMATH DE number 60466
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal quadrature formulae on the real line |
scientific article; zbMATH DE number 60466 |
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Optimal quadrature formulae on the real line (English)
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27 September 1992
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Quadrature formulas with equidistant nodes on the real line, involving a sequence of derivatives are treated. In this class, an optimal quadrature formula is obtained for the Sobolev space of functions with an additional restriction on its Fourier transforms. An explicit expression for the error is given. Comparison is made with other quadrature expressions with equal computational complexity.
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quadrature formulas
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equidistant nodes
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Sobolev space
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