Afiyah, Siti Nurul (2010) HenstockKurzweil integral on [a,b]. Undergraduate thesis, Universitas Islam Negeri Maulana Malik Ibrahim.

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Abstract
ENGLISH:
The theory of the Riemann integral was not fully satisfactory. Many important functions do not have a Riemann integral. So, Henstock and Kurzweil make the new theory of integral. From the background, the writer will be research about HenstockKurzweil integral and also theorems of Henstock Kurzweil Integral. Henstock Kurzweil Integral is generalized from Riemann integral.
In this case the writer uses research methods literature or literature study carried out by way explore, observe, examine and identify the existing knowledge in the literature.
In this thesis explain about partition which used in Henstock Kurzweil Integral, definition and some property of Henstock Kurzweil Integral. And some properties of HenstockKurzweil integral as follows: value of the HenstockKurzweil integral is unique, linearity of the HenstockKurzweil integral, Additivity of the HenstockKurzweil integral, Cauchy criteria, nonnegativity of HenstockKurzweil integral and primitive function.
Item Type:  Thesis (Undergraduate) 

Supervisor:  Rahman, Hairur and Abidin, Munirul 
Keywords:  Riemann integral; δfine partition; HenstockKurzweil integral 
Departement:  Fakultas Sains dan Teknologi > Jurusan Matematika 
Depositing User:  Ika Nur Khasana 
Date Deposited:  19 May 2017 03:02 
Last Modified:  19 May 2017 03:02 
URI:  http://etheses.uinmalang.ac.id/id/eprint/6684 
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