摘要
利用函数的相对导数的概念和性质及 Lagrange插值法讨论 α-多项式进行插值的问题 ,首先给出了插值多项式的存在唯一性 ,然后给出了插值多项式的构造及多项式插值的误差范围。在此基础上给出了最优插值多项式的存在性 。
The problem of α-polynomial interpolation is studied by using the concept of relative derivative and the Lagrange interpolation. The main results are which with the given condition there exists unique interpolation polynomial, and the construction and the expression of estimation of error of the interpolation polynomial are given.The method and the numerical example for solving the optimizational polynomial are listed at the end.
出处
《宝鸡文理学院学报（自然科学版）》
CAS
2002年第4期245-247,263,共4页
Journal of Baoji University of Arts and Sciences(Natural Science Edition)
