关于Grunwald插值多项式算子的平均收敛阶

On the average convergence order of Grunwald interpolation polynomial operator

在以第一类Ｃｈｅｂｙｓｈｅｖ多项式Ｔ．（Ｘ）的零点为插值节点的条件下，讨论了Ｇｒｕｎｗａｌｄ插值多项式算子在Ｌ＇空间以为权函数的加权平均收敛阶。

The weighted average convergence order of the weighed function in the space and with Grunwald interpolation polynomial as operator is dis-cussed.This operator has interpolation nodes which are the zero'S of the firstkind Chebyshev polynomial T_n(X),i. e. X_k=…COS n).