Quantitative inheritance properties for simultaneous approximation by tensor product operators (Q1410450)
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scientific article; zbMATH DE number 1992772
| Language | Label | Description | Also known as |
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| English | Quantitative inheritance properties for simultaneous approximation by tensor product operators |
scientific article; zbMATH DE number 1992772 |
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Quantitative inheritance properties for simultaneous approximation by tensor product operators (English)
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14 October 2003
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The results in this paper describe how quantitative properties of univariate operators are inherited by the tensor product of their parametric extensions. Statements concerning simultaneous approximation are included. The estimates presented in the paper are in terms of partial and total moduli of smoothness of higher-order. Applications to splines and Bernstein operators are given.
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tensor products
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inheritance properties
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parametric extensions
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simultaneous approximation
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moduli of smoothness
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Bernstein operators
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cubic splines
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