Nowhere monotone Riemann integrable derivative without local extrema
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912585245261824 |
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| author | Gusev, Nikolay A. Komagorov, Andrey E. |
| author_facet | Gusev, Nikolay A. Komagorov, Andrey E. |
| contents | We construct a nowhere monotone Riemann integrable derivative which has no local extrema. We also construct a differentiable function $G$ such that $G'$ is Riemann integrable and has an isolated local extrema which is not an inflection point of $G$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_10659 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nowhere monotone Riemann integrable derivative without local extrema Gusev, Nikolay A. Komagorov, Andrey E. Classical Analysis and ODEs Functional Analysis We construct a nowhere monotone Riemann integrable derivative which has no local extrema. We also construct a differentiable function $G$ such that $G'$ is Riemann integrable and has an isolated local extrema which is not an inflection point of $G$. |
| title | Nowhere monotone Riemann integrable derivative without local extrema |
| topic | Classical Analysis and ODEs Functional Analysis |
| url | https://arxiv.org/abs/2505.10659 |