Integral inequalities in measure spaces
type: Item
instance of: scholarly article
title: Integral inequalities in measure spaces
zbMATH Open document ID: 0921.26016
author: László Horváth
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-09-21T00:00:00Z
review text: In this paper the author has established upper bounds on the solutions of the integral inequalities in measure spaces \((X,{\mathcal A}, \mu_i)\), \(i=1, \dots, n,{\mathcal A}\) a \(\sigma\)-algebra in \(X\), of the form: \[ y(x) \leq f(x)+ \sum^n_{i=1} g_i(x)\int_{S(x)} y d\mu_i, \] where \(f\) and \(g_i\), \(i=1,2, \dots,n\), are real-valued functions on \(X\) and \(S(x)\in{\mathcal A}\), for every \(x\in X\) and the case in which \(n=1\) is noted explicitly.
reviewed by: B. G. Pachpatte
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 28A25
zbMATH DE Number: 1274786
zbMATH Keywords: measure spaces
zbMATH Keywords: integral inequalities
MaRDI profile type: Publication
full work available at URL: jmaa.1998.6251
OpenAlex ID: W2007550665
cites work: Q4033029
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cites work: On some generalizations of the Gronwall-Bellman integral inequality for scalar functions of many variables
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DOI: 10.1006/JMAA.1998.6251
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description: scientific article; zbMATH DE number 1274786