Dijk, E. van (2014) The HenstockKurzweil integral. Bachelor's Thesis, Mathematics.

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Abstract
In this thesis we examine the HenstockKurzweil 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 HenstockKurzweil integral has some nice benefits over the Riemann integral: we note that each derivative is HenstockKurzweil integrable when we look at the Fundamental theorem and we can prove some nice convergence theorems regarding HenstockKurzweil 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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