Geometric properties of the Lebesgue function
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866916038444056576 |
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| author | Białas-Cież, Leokadia De Marchi, Stefano Suder, Mateusz |
| author_facet | Białas-Cież, Leokadia De Marchi, Stefano Suder, Mateusz |
| contents | We present a collection of observations concerning the peculiar behavior of the Lebesgue function in the setting of the interval $[-1,1]\subset \mathbb{R}$ and the square $[-1,1]^2\subset \mathbb{R}^2$. We provide numerical results and formulate several open problems related to the geometry of the Lebesgue function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_23299 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Geometric properties of the Lebesgue function Białas-Cież, Leokadia De Marchi, Stefano Suder, Mateusz Numerical Analysis We present a collection of observations concerning the peculiar behavior of the Lebesgue function in the setting of the interval $[-1,1]\subset \mathbb{R}$ and the square $[-1,1]^2\subset \mathbb{R}^2$. We provide numerical results and formulate several open problems related to the geometry of the Lebesgue function. |
| title | Geometric properties of the Lebesgue function |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2605.23299 |