On a variational measure determined by an approximate differential basis
type: Item
instance of: scholarly article
title: On a variational measure determined by an approximate differential basis
zbMATH Open document ID: 1029.26002
published in: Moscow University Mathematics Bulletin
publication date: 2003-09-08T00:00:00Z
review text: The authors prove that a variational measure with respect to an approximate differential basis generated by an interval function is \(\sigma\)-finite and absolutely continuous with respect to the Lebesgue measure. Based on this fact a new descriptive definition of the approximate Henstock integral is established.
Mathematics Subject Classification ID: 26A39
Mathematics Subject Classification ID: 28A25
zbMATH DE Number: 1977033
zbMATH Keywords: variational measure
zbMATH Keywords: approximate Henstock integral
author: Piotr Sworowski
author: Valentin Skvortsov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1977033