广义三次叠样条

Generalized Cubic Spline-on-Spline

目前叠样条的研究,基本上针对多项式情形讨论,对于非多项式的广义叠样条研究甚少,本文对四阶微分算子样条构造了叠样条,估计了逼近误差,计算结果表明,四阶微分算子样条与三次多项式叠样条有相同的逼近阶。

This paper structures spline-on-spline functions of fourth order differential operator and estimate their approximation error bounds. The results show that they have the same approximation order as cubic mnltinomial spline-on-spline functions.