On Henstock's inner variation and strong derivatives.
type: Item
instance of: scholarly article
title: On Henstock's inner variation and strong derivatives.
zbMATH Open document ID: 1069.26008
published in: Real Analysis Exchange
publication date: 2004-08-06T00:00:00Z
review text: Introducing the concept of McShane differentiability of a function \(F:[a,b]\to \mathbb R\) the author studies the Lebesgue integrability of the McShane derivative of \(F\). Sets of inner variation zero and the strong Lusin condition are involved. It is mentioned that the results can be presented in the same way also for functions \(F\) having values in a Banach space when speaking about the Bochner integral. At the end of the paper it is shown how the results can be used in classical stochastic analysis.
reviewed by: Štefan Schwabik
Mathematics Subject Classification ID: 26A39
Mathematics Subject Classification ID: 26A24
zbMATH DE Number: 2084005
zbMATH Keywords: inner variation
zbMATH Keywords: McShane integral
zbMATH Keywords: McShane derivative
author: Tuan Seng Chew
MaRDI profile type: Publication
full work available at URL: realanalexch.27.2.0725
OpenAlex ID: W1524641891
DOI: 10.14321/REALANALEXCH.27.2.0725
description: scientific article; zbMATH DE number 2084005