Abstract

Properties of the Henstock–Kurzweil integral are considered under restrictions imposed on a gauge function. A proof of the assertion on relationships between the classes of integrable functions and the classes of gauge functions is presented for several particular cases.

中文翻译：

---

规范函数类别的选择对 Henstock–Kurzweil 积分性质的影响

摘要

Henstock-Kurzweil 积分的性质是在规范函数上施加的限制下考虑的。对于几个特定情况，给出了关于可积函数类和规范函数类之间关系的断言的证明。