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The Henstock-Kurzweil integral

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: http://fse.studenttheses.ub.rug.nl/id/eprint/11862

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