中文摘要：

讨论了一般有重差商问题，提出了脱重逼近方法．引进了自由因子序列与反自由因子序列，给出了一般有重差商的显式表达式，揭示了有重差商的内在结构，并给出了计算自由因子和有重差商的多种形式的快速算法．

英文摘要：

This paper discusses the general divided difference with multiplicity knots, puts forward an asymptotic method by dropping multiplicity. It introduces the free and anti-free factor sequence, obtains an explicit formula for the divided difference with multiplicity knots, reveals the structure and provides some algorithms.