Mcshane可积函数类的积分逼近定理

Integral Approximation Theorems for Mcshane Integrable Functions

在闭矩形域上定义Mcshane积分(简记为M-积分),然后由M-积分的绝对连续性,建立一类M-可积函数类,使得该函数类的M-积分逼近于原来函数的Mcshane积分,从而进一步刻划了Mcshane积分的有关性质.

Mcshane integral is defined in the closed rectangular domain(M-integral)and then a class of M-integrable functions is established by the absolute continuity of M-integral,so that the M-integral of the class of functions approximates the Mcshane integral of the original function,thus further characterizing the related properties of Mcshane integral.