连续函数的δ导数与性质

The δ-Derivative and Properties of Continuous Function

引入了连续函数的 δ导数新概念 ,研究表明 ,在采样点无限增多的情形下 ,它与有限离散函数导数概念相一致 ;在极限情形下 ,它与常规意义下连续函数导数概念相一致 .

The δ-derivative and properties of continuous function are discuss ed in this paper.It shows that the δ-derivative is identical with the derivative of finite discrete function when the sample points are increased. It is also identical with the conventional derivative under the limit case.It po ssesses the properties similar to the conventional derivative.