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An alternative definition of the Henstock-Kurzweil integral using primitives
Citation
Ng, W. L., & Lee, P. Y. (2018). An alternative definition of the Henstock-Kurzweil integral using primitives. New Zealand Journal of Mathematics, 48, 121-128. https://nzjmath.org/index.php/NZJMATH/article/view/31
Abstract
We introduce the notion of an H-primitive being the limit of a sequence of absolutely continuous functions satisfying certain conditions and use it to formulate an alternative definition of the Henstock-Kurzweil integral on a closed bounded interval. Furthermore, the definition provides a characterisation of the primitive of a Henstock-Kurzweil integrable function.
Keywords
Date Issued
2018
Publisher
New Zealand Mathematical Society
Journal
New Zealand Journal of Mathematics