再生核空间W_2~1[a,b]中的一阶微分算子样条

A First-Order Differential Operator Spline Function in the Reproducing Kernel Space W_2~1[a,b]

基于再生核空间W12[a,b]构造了一阶微分算子样条函数,所得函数解析表达式为样条函数空间Sp(L,π)的基底,并且微分算子样条函数作为算子与最佳插值逼近算子是一致的。

In this paper,the first-order differential operator spline function is presented ;n the reproducing kernel space W1/2[a,b], and the analytic expression of this function is the base of spline function space Sp（L,π）. Moreover, the differential operator spline function which acts as an operator is uniform with the best interpolation approximate operator.