摘要
进一步研究了第三型S N Bernstein插值过程 ,用一种全新的方法构造了一个算子An(f ;r ,x) ,它对于有任意阶连续导数的 f(x)∈Cl[- 1,1] ,(0≤l≤r- 1)都一致收敛 ,并且得到了算子An(f ;r ,x)
The third type interpolation polynomial of S.N.Bernstein is studied further.An operator A n(f;r,x)is constructed by a new method,which converges to arbitrary continuous derivative function f(x)∈C 1 ,(0≤l≤r-1)uniformly.The approximation order of operator A n(f;r,x) is the best.
出处
《烟台大学学报(自然科学与工程版)》
CAS
2003年第1期5-10,共6页
Journal of Yantai University(Natural Science and Engineering Edition)