Quantitative Inheritance Properties for Simultaneous Approximation by Tensor Product Operators

被引：0
作者：
Laura Beutel
Heinz H. Gonska
机构：
[1] Gerhard Mercator University,Institute of Mathematics
来源：
Numerical Algorithms | 2003年 / 33卷
关键词：
tensor products; inheritance properties; parametric extensions; simultaneous approximation; moduli of smoothness; Bernstein operators; cubic splines;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：83 / 92
页数：9
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