设X0=1,xn+1=-1,{xk}kn=1是n阶Jacobi多项式的零点,本文给出基于{xk)k=1 n+1 的Hermite-Fejer插值算子平均收敛的一些充要条件.

Letx0 = 1,xn+1 = - 1 and let {xk}kn=1 be the zeros of n-th Jacobi polynomial. In this paper, the sufficient and necessary conditions for the mean convergence of Hermite-Fejer interpolation operators based on the nodes {xk}k=0 n+1 established.