摘要
本文通过运用作者自己给出的“广义Green函数”技巧来讨论H-B插值问题,较成功地得到了一类新的误差界。
Let S4m-1(x) be the unique polynomial of degree ≤4m-1 satisfying the conditionswhereSupposewith Q0(x)=1,andour main result is:Theorem. Let f∈c4m[0,1], u= max |f(4m)(x) |, theni = 0,1,…,m-1, k=0,1,2,3. Moreover (1) is best estimator.
