【摘要】 <正> 设 -1=b_n+1<b_n<…<b₀=1 （1）是（1-x²）U_n（x）的零点,其中U（x）是第二类Chebyshev多项式。U_n（x）=sin（n+1）θ/sinθ,x=cosθ。 设f（x）是[-1,1]上给定的连续函数。f基于结点（1）的拟Hermite-Fejer插值多项式是更多还原

【Abstract】 In this paper, we discussed two linear, positive interpolatory rational operators based on, respectively, the zeros of the second kind Chebyshev polynomial and the Legendre polynomial. We have shown that the ordersof approximation to continuous functions are ωf(1/n), where ωf(1/n) is thecontinuous modulus of the function and n is the degree of the polynomial. And, this order of approximation is better than the quasi-Hermite-Fejer interpolation on the same nodes.更多还原