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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2403.11733 |
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| _version_ | 1866909277025730560 |
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| author | Sworowski, Piotr |
| author_facet | Sworowski, Piotr |
| contents | Given arbitrary $r\ge1$, we construct an HK$_r$-integrable function which is not P$_1$-integrable. This is an extension of Musial et al.\ construction published recently in [Musial, P., Skvortsov, V., Tulone, F.: The HK$_r$-integral is not contained in the P$_r$-integral. Proc. Amer. Math. Soc. {\bf150}(5), 2107--2114 (2022)]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_11733 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An HK$_r$-integrable function which is P$_s$-integrable for no $s$ Sworowski, Piotr Classical Analysis and ODEs 26A39 Given arbitrary $r\ge1$, we construct an HK$_r$-integrable function which is not P$_1$-integrable. This is an extension of Musial et al.\ construction published recently in [Musial, P., Skvortsov, V., Tulone, F.: The HK$_r$-integral is not contained in the P$_r$-integral. Proc. Amer. Math. Soc. {\bf150}(5), 2107--2114 (2022)]. |
| title | An HK$_r$-integrable function which is P$_s$-integrable for no $s$ |
| topic | Classical Analysis and ODEs 26A39 |
| url | https://arxiv.org/abs/2403.11733 |