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General weighted two-point Radau and Gauss and three-point Lobatto quadrature formulae for functions in \(L_p\) spaces - MaRDI portal

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
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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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