Abstract: Smoothing functions play an important role in Support Vector Machines（SVMs）.Using the technique of interpolation functions，Xiong et al. developed a recursive formula.This paper derives the expression of such 1st-order smooth functions using the recursive formula.It offered a detailed analysis of its approximation accuracy.The results show that its approximation accuracy is competitive compared to previously used smooth functions，which provide the better theory support for studying the SVM.

摘要： 光滑函数在支持向量机中起着重要作用，熊金志等人用插值函数的方法得到了一个递推公式。论文导出了一阶光滑函数的表达式，并分析了它的逼近性能，为研究光滑支持向量机提供了一些理论支持。