摘要
证明了当f′(x)在 [- 1 ,1 ]上仅有第一类间断点时 ,用n阶切比雪夫多项式零点为节点的Lagrange插值多项式逼近 [- 1 ,1 ]上二阶光滑函数时 ,其逼近度为O 1n ;f″(x)在 [- 1 ,1 ]上仅有第一类间断点时 ,其逼近度为O
When f′(x) owns the only one first d iscontinuity within ,using the zero dot of n order Chebyshev polynomial as critical dot to approach the tw o order smooth function within ,a conclusion can be drawn from that:the degree of approximation of it is O;when f″(x) owns t he only one first discontinuity,the degree of that is O
出处
《宜春学院学报》
2003年第6期24-25,共2页
Journal of Yichun University