摘要
研究了以Jacobi(1/2,1/2)多项式J,(x)=sin(N/2)θ/sin(θ/2) ,x=cosθ,N=2x+1的零点为插值结点的Lagrange插值过程“1/4”平均算子的导数逼近,给出了点态收敛阶.主要结果是文中定理.
The aim of this paper is to study the derivative-approximation of interpolation process by.“1/4” average Lagrange polynomials with zeros of Jacobi polynomials. The main result is the theorem in the paper.
出处
《辽宁师范大学学报(自然科学版)》
CAS
1993年第1期16-21,共6页
Journal of Liaoning Normal University:Natural Science Edition
关键词
算子逼近
多项式插值
导数逼近
polynomial interpolation
derivative approximation
operator approximation