摘要
以R^n表示n维欧氏空间,Z_+~n是R^n中坐标均为非负整数的全体,e^s为Z_+^(n+1)中第s个坐标为1其余坐标为0的单位向量;π_d(R^n)为全次数不大于d的n元多项式全体,
In this paper, some new results about polynomial-preserving transfinite interpolation oversimplex in R^n are obtained, which include the necessary and sufficient conditions for the existen-ce of a polynomial interpolant and the minimal degree for polynomial interpolants, the repre-sentation of the interpolant, and the dimension of the interpolant space. Several applicationsof our results, such as in triangularized data interpolation and multivariate splines, are discus-sed.
出处
《计算数学》
CSCD
北大核心
1991年第2期145-152,共8页
Mathematica Numerica Sinica
基金
国家自然科学基金
