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arXiv · 1002.2852

An elementary way to introduce a Perron-like integral

Hana Bendová·Jan Malý
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Abstract

We give an alternative definition of integral at the generality of the Perron integral and propose an exposition of the foundations of integral theory starting from this new definition. Both definition and proofs needed for the development are unexpectedly simple. We show how to adapt the definition to cover the multidimensional and Stieltjes case and prove that our integral is equivalent to the Henstock-Kurzweil(-Stieltjes) integral.

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Hana Bendová, Jan Malý. 2010-02-15. An elementary way to introduce a Perron-like integral. https://doi.org/10.5186/aasfm.2011.3609

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