Estimates of the stability of some methods of approximation by local splines (Q920315)

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scientific article; zbMATH DE number 4163452
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Estimates of the stability of some methods of approximation by local splines
scientific article; zbMATH DE number 4163452

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    Estimates of the stability of some methods of approximation by local splines (English)
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    1988
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    The paper deals with local splines of order 2 and 3 on n-dimensional unit cubes and gives estimates for the stability of the spline approximation in \(L^ p((0,1))\), \(p=1\), \(p=2\), and in \(L^{\infty}((0,1)^ n)\); the inequalities in the last case being sharp.
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    local splines
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    inequalities
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