摘要
研究了用一种广义α-多项式插值及其优化的问题,给出了在一定条件下这种多项式的存在唯一性及其误差估计,在此基础上证明了最优广义α-插值多项式的存在性,并说明了其数值求法。
The problem of generalize a -polynomial interpolation is studied by using the concept of relative derivative and the Langrange interpolation. The main results are which with the given condition there exists unique interpolation polyunomial, the construction of the interpolation polynomial and the expression of estimation of error of it are given. The method and the numerical example for solving the optimization generalize a -polynomial are listed at the end.
出处
《陕西科技大学学报(自然科学版)》
2003年第5期1-4,共4页
Journal of Shaanxi University of Science & Technology