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Why do so many cubature formulae have so many positive weights ? - MaRDI portal

Why do so many cubature formulae have so many positive weights ? (Q1123333)

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scientific article; zbMATH DE number 4109307
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Why do so many cubature formulae have so many positive weights ?
scientific article; zbMATH DE number 4109307

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    Why do so many cubature formulae have so many positive weights ? (English)
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    1988
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    There are considered cubature formulae which are invariant with respect to a transformation group and proved sufficient conditions for such formulae to have positive weights. This is worked out for different symmetries: central symmetry etc. Some examples are given.
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    cubature formulae
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    central symmetry
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    examples
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