摘要
本文利用文献[2]中介绍的方法,将以第二类切比雪夫多项式的零点为插值结点的Lagrange内插过程的“1/2”平均算子扩展成为可用来逼近无界函数的扩展算子。文中证明了扩展算子的收敛阶,并估计了扩展算子的收敛阶,得到了比较满意的结果。
In this paper, by applying the mathods introduced in Literature(2), the '1/2'average oprator of Lagrange interpolation process with zeros of Chebyshev polynomials of second kind is improved. The improved oprator is called enlargement oprator,which can be used to approximate unbound function. The convergence and its order of the enlargement oprator has been proved withsatisfactory results.
关键词
插值逼近
扩展算子
收敛阶
interpolation approximation, enlargement oprator, convergence order
