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arXiv · 2401.11465

The Hausdorff-integral and its applications

Attila Losonczi
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Abstract

We present a new type of integral that is supposed to extend the usability of the Lebesgue integral in certain types of investigations. It is based on the Hausdorff dimension and measure. We examine the basic properties of the integral and its similarities to the properties of the Lebesgue integral. We present many applications as well.

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Attila Losonczi. 2024-01-21. The Hausdorff-integral and its applications. https://arxiv.org/abs/2401.11465

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