On Some Convexity Questions of Handelman
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912150233022464 |
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| author | Simanek, Brian |
| author_facet | Simanek, Brian |
| contents | We resolve some questions posed by Handelman in 1996 concerning log convex integrable functions. In particular, we give a negative answer to a question he posed concerning the integrability of $h^2(x)/h(2x)$ when $h$ is integrable and log convex and $h(n)^{1/n}$ converges to 1. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10970 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Some Convexity Questions of Handelman Simanek, Brian Classical Analysis and ODEs We resolve some questions posed by Handelman in 1996 concerning log convex integrable functions. In particular, we give a negative answer to a question he posed concerning the integrability of $h^2(x)/h(2x)$ when $h$ is integrable and log convex and $h(n)^{1/n}$ converges to 1. |
| title | On Some Convexity Questions of Handelman |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2402.10970 |