分段有理三次插值

Shape-preserving Piecewise Degree cubic Rational Interpolation

本文讨论了分段有理三次保形插值 ,对插值的保形性进行了研究 .得出了插值的存在性与权因子和插值点处导数估计值的关系 ,并对有理保形分段插值多项式在插值点处的连续性进行了研究 .

This paper discusses the existence and continuity of shape-preserving piecewise degree cubic rational interpolation, deprives the relation between its existence, weights and derivative estimation value, and discusses the continuity of shape-preserving piecewise degree cubic rational polynomials Interpolation.