Date of Award
2011
Publication Type
Master Thesis
Degree Name
M.Sc.
Department
Mathematics and Statistics
Keywords
Mathematics.
Supervisor
Traynor, Tim (Mathematics & Statistics)
Rights
info:eu-repo/semantics/openAccess
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Abstract
In this paper we seek to investigate and compare several Kurzweil-Henstock type integrals. We present these integrals as special cases of a more general construction and establish key properties required in order to create similar "well behaved" integrals. After establishing basic results (additivity, monotonicity, etc.) for these integrals, we shift our focus to more interesting questions about them. We consider mainly the following topics: additivity, their relationship to the Lebesgue integral, absolute integrability, their relationships with each other, their relationship with differentiation, possible convergence theorems and the establishment of a Fubini Theorem.
Recommended Citation
Howell, Bradley, "Filter Base Integration" (2011). Electronic Theses and Dissertations. 350.
https://scholar.uwindsor.ca/etd/350