近似连续C-可积函数的原函数刻画(英文)

THE CHARACTERIZATION OF THE PRIMITIVES OF APPROXIMATELY CONTINUOUS C-INTEGRABLE FUNCTIONS

本文研究了近似连续C-可积函数的原函数问题.利用近似连续C-积分的有关性质,得到了函数近似C-可积的一个充分必要条件,推广了B.Bongiorno等人的工作.

In this article,we study the primitive of the approximately continuous C-integrable functions.By using properties of the approximately continuous C-integral,we obtain a necessary and sufficient condition for the approximately continuous C-integrable problems.These are the generalizations of the results of B.Bongiorno and others.