Abstract
dc:description.abstractThis study attempts to develop the theory surrounding a controlled convergence theorem in the setting of AP integration. First, after a brief review, we spend some time on developing concepts and definitions. We are able to use these concepts to successfully present an initial control convergent theorem. Then we study our conditions more profoundly and find a number of equivalences and inequivalences between them. We are able to weaken some of the standard hypotheses significantly. The Riesz type approach to our integral has been included in our theory. Appropriately enough, we are able to use some of our approaches to extend the theory of the Henstock-Kurweil integral.
Degree
thesis:*- Name thesis:degree_name
- PhD
- Level thesis:degree_level
- Doctoral
- Discipline thesis:degree_discipline
- Mathematics and Statistics
- Grantor dc:publisher
- ResearchSpace@Auckland
- Year dc:date.issued
- 1993
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Liao, Kecheng
- Advisor dc:contributor.advisor
-
- Dr B.D. Calvert
Rights
dc:rights- Statement dc:rights
-
- Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
- Licence dc:rights.uri
- Language dc:language.iso
- en
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- https://hdl.handle.net/2292/1969
- OAI identifier oai:identifier
- oai:researchspace.auckland.ac.nz:2292/1969