摘要
对第三型伯恩斯坦插值过程做进一步研究,利用两点修正方法,构造一个算子Gn(f;r,x),它对于有直到r阶连续导数的f(x)∈Cj[-1,1](0≤j≤r)都一致收敛,并且得到算子Gn(f;r,x)的最佳收敛阶.
The present paper deals with the third type interpolation process of Bernstein in a deep step. An operator Gn(f;r,x) is constructed by means of the modified method of two zero nodes. It is proved that the operator converges to arbitrary continuous derivative function f(x)∈Cj (0≤j≤r) uniformly and the convergence order of the operator Gn(f;r,x) is the best.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2003年第2期140-143,共4页
Journal of Jilin University:Science Edition
