Fractal dimension of the boundary of cantorvals
| dc.contributor.author | Karvatskyi, Dmytro | |
| dc.date.accessioned | 2024-06-14T05:48:50Z | |
| dc.date.available | 2024-06-14T05:48:50Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | We say that a Cantorval ๐ is achievable if there exists a convergent positive series ฮฃ๏ธ ๐ข๐ such that ๐ = ๐ธ(๐ข๐). Taking into account the above theorem, there naturally arises the question: Is the boundary ๐๐ถ for an arbitrary Cantorval ๐ a fractal set? | en_US |
| dc.identifier.citation | Karvatskyi D. M. Fractal dimension of the boundary of Cantorvals / D. M. Karvatskyi // XII ะัะตัะบัะฐัะฝััะบะฐ ะฝะฐัะบะพะฒะฐ ะบะพะฝัะตัะตะฝัiั ะผะพะปะพะดะธั ะผะฐัะตะผะฐัะธะบiะฒ, ะะธัะฒ, 9-11 ััะฐะฒะฝั 2024 ั. : [ะทะฑััะฝะธะบ ัะตะท /ะพัะณะบะพะผ.: ะะปะธะฑะพะฒะตัั ะ. ะ. ัะฐ ัะฝ.] ; ะะฐัiะพะฝะฐะปัะฝะธะน ัะฝiะฒะตััะธัะตั ะะธัะฒะพ-ะะพะณะธะปัะฝััะบะฐ ะฐะบะฐะดะตะผiั" [ัะฐ ัะฝ.]. - [ะะธัะฒ : ะฑ. ะฒ.], 2024. - C. 69. | en_US |
| dc.identifier.uri | https://ekmair.ukma.edu.ua/handle/123456789/29802 | |
| dc.language.iso | en | en_US |
| dc.relation.source | XII ะัะตัะบัะฐัะฝััะบะฐ ะฝะฐัะบะพะฒะฐ ะบะพะฝัะตัะตะฝัiั ะผะพะปะพะดะธั ะผะฐัะตะผะฐัะธะบiะฒ: ะทะฑััะฝะธะบ ัะตะท ะดะพะฟะพะฒัะดะตะน, 9-11 ััะฐะฒะฝั 2024 ัะพะบั | uk_UA |
| dc.status | first published | en_US |
| dc.subject | the closed bounded set | en_US |
| dc.subject | singletons | en_US |
| dc.subject | the interior | en_US |
| dc.subject | Hausdorff dimension | en_US |
| dc.subject | conference abstracts | en_US |
| dc.title | Fractal dimension of the boundary of cantorvals | en_US |
| dc.type | Conference materials | uk_UA |
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