摘要
A necessary and sufficient condition of regularity of （0,1,…,m - 2,m） interpolation on the zeros of （1-x）P<sub>n-1</sub><sup>α,β</sup>（x） （α】 -1,β≥- 1） in a manageable form is established, where P<sub>n-1</sub><sup>α,β</sup>（x） stands for the （n-1）th Jacobi polynomial. Meanwhile, the explicit representation of the fundamental polynomials when they exist, is given.
A necessary and sufficient condition of regularity of (0,1,…,m - 2,m) interpolation on the zeros of (1-x)P_(n-1)^(α,β)(x) (α> -1,β≥- 1) in a manageable form is established, where P_(n-1)^(α,β)(x) stands for the (n-1)th Jacobi polynomial. Meanwhile, the explicit representation of the fundamental polynomials when they exist, is given.
基金
National Natural Science Foundation of China.
