｜x｜^α型函数在等距结点上Lagrange插值多项式的发散性

The divergence of Lagrange interpolation polynomial to |x|α in equidistant nodes

在此讨论了函数fαλ(x)=xα,0≤x≤1,λ｜x｜α,-1≤x<0,(0<α≤1,λ是常数)在等距结点上构成的奇数次Lagrange插值多项式序列的发散性。

This paper discusses the divergence of the sequence of Lagrange interpolation polynomials corresponding to the function f~α_λ(x)=x~α,0≤x≤1,λ|x|~α,-1≤x<0,(0<α≤1,λ being constant)