S. N. Kopylov, “Influence of the choice of the class of gauge functions on the properties of the Henstock–Kurzweil integral”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, Number 2,Pages <nobr>32

Short notes

Influence of the choice of the class of gauge functions on the properties of the Henstock–Kurzweil integral

S. N. Kopylov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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

Key words: real analysis, theory of integration, gauge integral.

UDC: 517.518.126

Received: 01.11.2019