Dijk, E. van (2014) The Henstock-Kurzweil integral. Bachelor's Thesis, Mathematics.
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Abstract
In this thesis we examine the Henstock-Kurzweil integral. First we look at the definition, which only differs slightly from the definition of the common Riemann integral; instead of using a constant delta, we use a strictly positive function gamma. After proving some properties of the Henstock Kurzweil integral, we look at a couple examples. At last we will see that the Henstock-Kurzweil integral has some nice benefits over the Riemann integral: we note that each derivative is Henstock-Kurzweil integrable when we look at the Fundamental theorem and we can prove some nice convergence theorems regarding Henstock-Kurzweil integrals.
| Item Type: | Thesis (Bachelor's Thesis) |
|---|---|
| Degree programme: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 15 Feb 2018 07:57 |
| Last Modified: | 15 Feb 2018 07:57 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/11862 |
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