国家自然科学基金(the National Natural Science Foundation of China under Grant No.60773110)
湖南省教育嗍资助项目(No.06C791)
湖南省科技计划项目(No.2008FJ3046)
湖南省重点学科建设资助项目
湖南省高校科技创新团队计划支持项目
安徽省教育厅自然科研项目(No.KJ2008B250).
In this paper,a kind of weighted rational cubic spline interpolation is constructed using the rational cubic spine with cubic polynomial denominators and the rational cubic spline based on function values.The shape control of the weighted rational cubic spline is studied,the sufficient conditions for the interpolating curves to be constrained in the given region are der...