C^1连续分段二次多项式保单调插值存在的充要条件

A Necessary and Sufficient condition of Existence for C^1 Monotonity preserving Piecewise Quadratic Polynomial Interpolation

本文讨论C1连续的分段次多项式保单调插值，并且给出了保单调插值存在的充要条件。

In this paper, C' monotonicity preserving piecewise quadratic polynomial inteaplations are discussed, and necessary and sufficient conditions of existence for the interpolations are given.