Quasi-interpolants Based on Trigonometric Splines
Quasi-interpolants Based on Trigonometric Splines
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DOI：
10.1006/jath.1998.3196
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发表时间：
1998-11
影响因子：
0.9
通讯作者：
T. Lyche;L. Schumaker;Sonya S. Stanley
中科院分区：
文献类型：
--
作者：
T. Lyche;L. Schumaker;Sonya S. Stanley
发展了基于三角样条的准插值的一般理论，类似于多项式样条的情况。目的是构造局部、易于计算且适用于多种函数的准插值。作为示例，我们给出了详细的处理，包括两个类的误差范围，这在实践中特别有用。
A general theory of quasi-interpolants based on trigonometric splines is developed which is analogous to the polynomial spline case. The aim is to construct quasi-interpolants which are local, easy to compute, and which apply to a wide class of functions. As examples, we give a detailed treatment including error bounds for two classes which are especially useful in practice.