研究了一类不可微函数的1种光滑逼近法.采用推理的方法证明当控制参数趋于无穷大时,熵函数在整个空间上一致逼近原函数.此结果对于不可微函数的光滑化研究具有重要的理论意义.
Studied smooth approximation method for a kind of non-differentiable function. Proved that entropy function uniformly approximates primal function when controlling parameter tends to infinity. This result plays a leading role in the studies of making the non-differentiable function smooth.