【摘要】 <正> §1设函数 f(x)∈C[-1,1],x=cosθ,0≤θ≤π.记 N=n+1,以第二类 Chebyshev多项式:U_n(x)=(sin Nθ)/(sinθ)的零点更多还原

【Abstract】 In this paper the convergence order of the interpolation processes by Quasi-Hermite-Fejér polynomials are considered.We have proved the follow-ing main result:The convergence order is given by c₁/n sum from k=1 to n 1/kω（f′,k/n）+c₂/n,（c₁,c₂is a constant） when using interpolation processes of Quasi-Hermite-Fejerpolynomials to approximatc f（x）∈C（?） on [-1,1].更多还原