Integration and measurability
type: Item
instance of: scholarly article
title: Integration and measurability
zbMATH Open document ID: 0913.28003
author: O. S. Ivashev-Musatov
published in: Moscow University Mathematics Bulletin
publication date: 1999-03-15T00:00:00Z
review text: The author discusses the part of the traditional requirement of measurability of the integrand function \(f\) and the set \(A\) with respect to which the integration is carried out in the theory of integration. A modification of the integral definition is presented where the requirement of measurability of \(A\) and \(f\) is absent. Besides, it is shown that some properties of the Lebesgue integral are preserved.
Mathematics Subject Classification ID: 28A25
zbMATH DE Number: 1261637
zbMATH Keywords: Lebesgue integral
zbMATH Keywords: measurability
reviewed by: A. A. Martynyuk
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1261637