分析学中一类函数的推广与应用

Application and Dissemination of a Kind of Functions in Analysis

从分析学中三个经典的例子出发,定义了一类函数x≠0时,f(x)=xpsin1x;x=0时,f(x)=0讨论了这类函数的特性,并利用这类函数构造了若干分析学中非常有用的实例。

According to three typical examples in Analysis .This paper defines a kind of functions as follows:x≠0,f(x)=xp sin 1x; x=0, f(x)=0. It discusses their characters and structures some practical examples in Analysis.