M-积分原函数绝对连续性的另一种刻划

Another characterization of absolute continuity of a M-integral function

基于δ精细M分法对Mcshane进行积分理论研究。在Mcshane积分相关性质的基础上,建立Mcshane积分的Cauchy准则,得到Mcshane积分定义的另一种表述。应用Henstock引理导出Mcshane可积函数原函数的绝对连续性的另一种刻划。

δ elaborate M divide method is used to analyze the Mcshane integral theory.Based on the properties of Mcshane integral,the Cauchy criterion of Mcshane integral is established to get another expression of Mcshane integral definition.With Henstock lemma,we obtain another characterization of the absolute continuity of Mcshane integrable original function.