On a class of non-integer dimensional continuous functions with one unbounded variation point
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913573358272512 |
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| author | Liu, Pei-Zhi Liang, Yong-Shun Wu, Jun-Ru |
| author_facet | Liu, Pei-Zhi Liang, Yong-Shun Wu, Jun-Ru |
| contents | This paper constructs a class of non-integer dimensional continuous functions with one unbounded variation point, discusses their Hölder condition and variation on their domains. Specifically, the fractal dimension of a continuous function with one unbounded variation point can reach two. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03382 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a class of non-integer dimensional continuous functions with one unbounded variation point Liu, Pei-Zhi Liang, Yong-Shun Wu, Jun-Ru Classical Analysis and ODEs 28A80 This paper constructs a class of non-integer dimensional continuous functions with one unbounded variation point, discusses their Hölder condition and variation on their domains. Specifically, the fractal dimension of a continuous function with one unbounded variation point can reach two. |
| title | On a class of non-integer dimensional continuous functions with one unbounded variation point |
| topic | Classical Analysis and ODEs 28A80 |
| url | https://arxiv.org/abs/2402.03382 |