一类二次保形拟插值函数的研究

Study on a Class of Quadratic Shape-preserving Quasi-interpolation Functions

通过讨论一种保形拟插值的基函数与二次规范B-样条函数之间的关系,提出了一类二次保形拟插值样条函数,得到了这类保形拟插值函数在具有线性再生性质,并保持原有数据点列的单调性和凸性时分别应满足的条件,并给出几个应用实例.

The main purpose of this paper is to propose a class of shape-preserving quasi-interpolations using quadratic splines functions, and obtain the conditions under which this class of quasi-interpolations are shown to be linear-reproducing, monotone and convex conforming.