关于拟Grünwald插值算子的收敛性

On convergence of quasi-Grünwald interpolatory operators

就一种拟 Grünwald插值多项式 G*n (f ,x)的几种收敛性进行了讨论 ,证明了在 C[- 1,1] 上它是点态收敛和 Lp(p >0 )平均收敛的 ,但非一致收敛。

Several convergences of quasi Grünwald interpolatory polynomials are investigated.It is proved that the interpolatory polynomials are pointwise convergent and L p mean convergent,but not uniformly convergent with functions in C .