General weighted two-point Radau and Gauss and three-point Lobatto quadrature formulae for functions in \(L_p\) spaces (Q377813)
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scientific article; zbMATH DE number 6223887
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | General weighted two-point Radau and Gauss and three-point Lobatto quadrature formulae for functions in \(L_p\) spaces |
scientific article; zbMATH DE number 6223887 |
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General weighted two-point Radau and Gauss and three-point Lobatto quadrature formulae for functions in \(L_p\) spaces (English)
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7 November 2013
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The authors rediscover the first Peano kernels of some very simple two- or three-point quadrature formulas for weighted integrals. Using standard Hölder inequality methods, they then provide elementary error estimates under the assumption that the derivative of the integrand belongs to some \(L_p\) space.
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Montgomery identity
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weighted 2-point and 3-point quadrature formulae
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