|x|α的有理插值
ON RATIONAL INTERPOLATION TO |x|α

本文研究了Newman-α型有理算子逼近|x|α（1 ≤ α < 2）收敛速度的问题，取插值结点组为X={xi=bi，b=m（-1）/√n}i=1n，其中e < m < n.利用基本不等式以及放缩法，获得了逼近阶为3e（-α√n）/（logm）.
In this paper, we study the problem of the convergence rate of Newman-α rational operator approximation to|x|α(1 ≤ α < 2), and take the interpolation node group as X={xi=bi, b=m(-1)/√n}i=1n, where e < m < n. By using the basic inequality and the scaling method, we obtain that the approximation order is 3e(-α√n)/(logm)