Influence of the Choice of the Class of Gauge Functions on the Properties of the Henstock–Kurzweil Integral

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.

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Bibliographic Details
Published in:	Moscow University mathematics bulletin Vol. 76; no. 2; pp. 65 - 68
Main Author:	Kopylov, S. N.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01-03-2021 Springer Nature B.V
Subjects:	Analysis Integrals Mathematical functions Mathematics Mathematics and Statistics integration theory Henstock–Kurzweil integral real analysis
Online Access:	Get full text
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Description
Summary:	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.
ISSN:	0027-1322 1934-8444
DOI:	10.3103/S0027132221020054