Multipliers for some generalized Riemann integrals in the real line
type: Item
instance of: scholarly article
title: Multipliers for some generalized Riemann integrals in the real line
zbMATH Open document ID: 0828.26007
published in: Real Analysis Exchange
publication date: 1996-01-04T00:00:00Z
review text: It is well-known that if \(f\) is Henstock integrable on \([a, b]\) and \(g\) is of bounded variation, then \(fg\) is also Henstock integrable on \([a, b]\) [see the reviewer, ``Lanzhou lectures on Henstock integration'' (1989; Zbl 0699.26004), p. 72]. The authors give a proof of the above result with the Henstock integral replaced by some other generalized Riemann integrals on the real line using figures (finite unions of intervals) satisfying certain regularity condition instead of intervals, as introduced in \textit{B. Bongiorno}, \textit{M. Giertz} and \textit{W. F. Pfeffer} [Boll. Unione Math. Ital., VII. Ser. B 6, No. 2, 371-402 (1992; Zbl 0774.26003)].
Mathematics Subject Classification ID: 26A39
zbMATH DE Number: 756666
zbMATH Keywords: multipliers
zbMATH Keywords: generalized Riemann integrals
zbMATH Keywords: regularity condition
author: Benedetto Bongiorno
author: Valentin Skvortsov
reviewed by: Peng-Yee Lee
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 756666