Asymptotic formulae for linear combinations of generalized sampling operators (Q360704)
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scientific article; zbMATH DE number 6202164
| Language | Label | Description | Also known as |
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| English | Asymptotic formulae for linear combinations of generalized sampling operators |
scientific article; zbMATH DE number 6202164 |
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Asymptotic formulae for linear combinations of generalized sampling operators (English)
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27 August 2013
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Summary: We give some Voronovskaja formula for linear combinations of generalized sampling operators and we furnish also a quantitative version in terms of the classical Peetre \(K\)-functional. This provides a better order of approximation in the asymptotic formula. We apply the general theory to various kernels: the Bochner-Riesz kernel, translates of B-splines and the Jackson type kernel.
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Voronovskaja-type formula
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moments
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generalized sampling operators
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\(K\)-functional
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