摘要
基于超限多项式插值的结论,本文给出了一个二元散乱数据C^r连续且分片次数d≥4r+1的PP插值表示,并由此讨论了二元样条函数研究中的有关问题。许多文献结果都是本文结果特例。
Based upon the results about the polynomial interpolation of .transfinite polynomial data, an explicit representation of a C PP interpolant with piecewise degree d≥4r+l is derived in this paper.Some related problems in bivariate splines are discussed.Many available interpolants are subsumed by the one proposed in this paper.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1990年第4期499-506,共8页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
