【摘要】 考虑给定的一组数点{(xi,f(xi))}ni=1,构造一类由二次样条函数生成的保形拟插值ωk(x).证明ωk(x)具有线性再生性,并保持原有数据点的单调性和凸性.另外,还讨论了这类二次保形拟插值函数与二次B 样条函数之间的关系.更多还原

【Abstract】 Given a set of data {(xi,f(xi))}ni=1,a class of shape preserving quasiinterpolations using linear combination of some quadratic spline functions is constructed. These quadratic quasiinterpolations possess the properties of linearreproducting,monotone and convex preserving. Furthermore,the relationship between quadratic quasiinterpolations and quadratic Bspline are discussed.更多还原