Generalized integrals and related topics
type: Item
instance of: scholarly article
title: Generalized integrals and related topics
zbMATH Open document ID: 0944.26012
author: Zoltán Buczolich
published in: Real Analysis Exchange
publication date: 2000-05-21T00:00:00Z
review text: A conference survey of the following topics: 1. How complicated need the gauge be in the definition of the Kurzweil-Henstock integral? 2. Ergodic theorem with generalized (nonabsolutely convergent) integrals. 3. Special partitions in the case of \(m\)-dimensional intervals. 4. Application of special partitions to the wave equation. 5. \(BV\)- and \(F\)-integrals. 6. Variations of additive functions. 7. Lipschitz transformations. 8. Lebesgue integrability on a portion of the interval for functions integrable in a generalized sense.
reviewed by: Štefan Schwabik
Mathematics Subject Classification ID: 26A39
zbMATH DE Number: 1449381
zbMATH Keywords: nonabsolute integration
zbMATH Keywords: Kurzweil-Henstock integral
zbMATH Keywords: variation
zbMATH Keywords: gauge
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1449381