Variations and extensions of Croft's problem
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866917098045833216 |
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| author | Smyrli, Sophia |
| author_facet | Smyrli, Sophia |
| contents | In this work we study the following classical still challenging Calculus problem: {\it If $f:(0,\infty)\to\mathbb{R}$ is a continuous function, for which the sequence $\{f(nx)\}$ tends to zero, for every positive $x$, as $n$ tends to infinity, then $f(x)$ also tends to zero, as $x$ tends to infinity.} |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_17539 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Variations and extensions of Croft's problem Smyrli, Sophia Functional Analysis In this work we study the following classical still challenging Calculus problem: {\it If $f:(0,\infty)\to\mathbb{R}$ is a continuous function, for which the sequence $\{f(nx)\}$ tends to zero, for every positive $x$, as $n$ tends to infinity, then $f(x)$ also tends to zero, as $x$ tends to infinity.} |
| title | Variations and extensions of Croft's problem |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2511.17539 |