The essential variation of a function and some convergence theorems
type: Item
instance of: scholarly article
title: The essential variation of a function and some convergence theorems
zbMATH Open document ID: 0864.26006
DOI: 10.1007/BF02342334
published in: Analysis Mathematica
publication date: 1997-06-24T00:00:00Z
review text: The paper contains the definition of the essential variation of a real function defined on a set \(E\) of real numbers. If \(E\) is a Lebesgue measurable set, then \(V(f,E) =\int_E|\overline Df(x)|dx\) for an arbitrary function \(f\). Also the passing to the limit under the sign of the Denjoy-Perron integral is studied.
Mathematics Subject Classification ID: 26A45
Mathematics Subject Classification ID: 26A39
zbMATH DE Number: 913002
zbMATH Keywords: essential variation
zbMATH Keywords: Denjoy-Perron integral
author: Benedetto Bongiorno
author: Luisa Di Piazza
author: Valentin Skvortsov
reviewed by: Jerzy Niewiarowski
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02342334
OpenAlex ID: W1666871687
description: scientific article; zbMATH DE number 913002