论文标题
关于Denjoy-Khintchine和HK $ _ {R} $之间的关系 - 积分
On the relation between Denjoy--Khintchine and HK$_{r}$-integrals
论文作者
论文摘要
我们在近似Henstock-Kurzweil积分理论中找到了Sagher的Hk $ _r $ -inte \ - gration的概念。如果要按要求限制hk $ _r $ - 构成，则无限期的hk $ _r $ integral是{\ em连续}，那么即使在经典的denjoy-khintchine Integrall中也包含在内。我们提供了一个直接的论点，表明此包含是正确的。
We locate Musial\,\&\,Sagher's concept of HK$_r$-inte\-gration within the approximate Henstock--Kurzweil integral theory. If to restrict HK$_r$-integral by requirement that the indefinite HK$_r$-integral is {\em continuous}, then it is included even in the classical Denjoy--Khintchine integral. We provide a direct argument demonstrating that this inclusion is proper.
