A universal primitive for functions of several variables
type: Item
instance of: scholarly article
title: A universal primitive for functions of several variables
zbMATH Open document ID: 0536.28003
DOI: 10.1007/BF02851109
author: V. Aversa
author: Rosalba Carrese
publication date: 1983-01-01T00:00:00Z
review text: The authors construct an interval function F which is a universal primitive of measurable functions f defined in a compact of \(R^ n\), in the sense that for any such function there exists an infinitesimal sequence \((h_ n)\) for which \(f(x)=\lim \frac{F(x+h_ n)-F(x)}{h_ n}\).
Mathematics Subject Classification ID: 28A20
Mathematics Subject Classification ID: 26B05
zbMATH DE Number: 3851433
zbMATH Keywords: universal primitive of measurable functions
reviewed by: Ubiratan D'Ambrosio
MaRDI profile type: Publication
cites work: Extension theorems on derivatives of additive interval functions
cites work: Sur les nombres dérivés
cites work: Q5620774
cites work: Q5768777
full work available at URL: https://doi.org/10.1007/bf02851109
OpenAlex ID: W2016264640
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 3851433