Variational equivalence and generalized absolute continuity
type: Item
instance of: scholarly article
title: Variational equivalence and generalized absolute continuity
zbMATH Open document ID: 0622.26010
author: Krzysztof Ostaszewski
published in: Real Analysis Exchange
publication date: 1985-01-01T00:00:00Z
review text: In this paper, the concept of variational equivalence introduced by Henstock is used to study the relationship between generalized Denjoy integrals for functions of two variables introduced in the thirties by Kempisty and the Henstock integral, i.e. a non-absolute integral based upon Riemann sums. The main result is that the Kempisty integral is less general than Henstock integral.
Mathematics Subject Classification ID: 26B15
Mathematics Subject Classification ID: 26A39
zbMATH DE Number: 4008715
zbMATH Keywords: variational equivalence
zbMATH Keywords: generalized Denjoy integrals
zbMATH Keywords: functions of two variables
zbMATH Keywords: Henstock integral
zbMATH Keywords: non-absolute integral
zbMATH Keywords: Kempisty integral
reviewed by: Jean Mawhin
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4008715