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Quantitative Inheritance Properties for Simultaneous Approximation by Tensor Product Operators |
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| Authors: | Laura Beutel Heinz H. Gonska |
| Affiliation: | (1) Institute of Mathematics, Gerhard Mercator University, D-47048 Duisburg, Germany |
| Abstract: | Our results describe how quantitative properties of univariate operators are inherited by the tensor product of their parametric extensions. This includes statements concerning simultaneous approximation. The estimates are in terms of partial and total moduli of smoothness of higher order. Applications are given for cubic interpolatory splines and Bernstein operators. Further applications are possible. |
| Keywords: | tensor products inheritance properties parametric extensions simultaneous approximation moduli of smoothness Bernstein operators cubic splines |
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