Polynomial reproduction by symmetric subdivision schemes (Q999275)

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scientific article; zbMATH DE number 5501956
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Polynomial reproduction by symmetric subdivision schemes
scientific article; zbMATH DE number 5501956

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    Polynomial reproduction by symmetric subdivision schemes (English)
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    3 February 2009
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    Stationary subdivision schemes are considered in this paper. For the approximation and convergence qualities of a subdivision scheme, it is relevant which polynomials (which order of polynomials) are reproduced by the scheme. Therefore, in this paper the authors provide a characterisation of polynomial exactness of the methods in the linear, binary and uniform situation.
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    subdivision schemes
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    polynomial reproduction
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    polynomial generation
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    approximation order
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    quasi-interpolation
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