Estimation of the centroid Banach–Mazur distance between planar convex bodies
UDC 514.18 We consider a version of the Banach–Mazur distance $\delta_{BM}^{\rm cen} (C, D)$ between two convex bodies $C$ and $D$ from $E^d$ with an additional requirement that their centroids coincide. We prove that $\delta_{BM}^{\rm cen} (C, D) \leq \dfrac{69}{17}$ for any two convex...
Збережено в:
| Дата: | 2024 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2024
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/7428 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: | |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512670243880960 |
|---|---|
| author | Lassak, Marek Lassak, Marek |
| author_facet | Lassak, Marek Lassak, Marek |
| author_sort | Lassak, Marek |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-11-22T08:15:12Z |
| description | UDC 514.18
We consider a version of the Banach–Mazur distance $\delta_{BM}^{\rm cen} (C, D)$ between two convex bodies $C$ and $D$ from $E^d$ with an additional requirement that their centroids coincide. We prove that $\delta_{BM}^{\rm cen} (C, D) \leq \dfrac{69}{17}$ for any two convex bodies $C$ and $D$ in $E^2.$ |
| doi_str_mv | 10.3842/umzh.v76i5.7428 |
| first_indexed | 2026-03-24T03:32:28Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7428 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:32:28Z |
| publishDate | 2024 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-74282024-11-22T08:15:12Z Estimation of the centroid Banach–Mazur distance between planar convex bodies Estimation of the centroid Banach–Mazur distance between planar convex bodies Lassak, Marek Lassak, Marek Banach-Mazur distance, centroid Banach-Mazur distance, convex body, centroid, affine-regular hexagon Banach-Mazur distance UDC 514.18 We consider a version of the Banach–Mazur distance $\delta_{BM}^{\rm cen} (C, D)$ between two convex bodies $C$ and $D$ from $E^d$ with an additional requirement that their centroids coincide. We prove that $\delta_{BM}^{\rm cen} (C, D) \leq \dfrac{69}{17}$ for any two convex bodies $C$ and $D$ in $E^2.$ УДК 514.18 Оцінка центроїдної відстані Банаха–Мазура між плоскими опуклими тілами Розглянуто варіант відстані Банахa–Mазурa  $\delta_{BM}^{\rm cen} (C, D)$ для двох опуклих тіл $C,$ $D$ з $E^d$ з додатковою вимогою, що їхні центроїди збігаються. Доведено, що $\delta_{BM}^{\rm cen} (C, D) \leq \dfrac{69}{17}$ для будь-яких опуклиx тіл $C,$ $D$ з $E^2$. Institute of Mathematics, NAS of Ukraine 2024-06-02 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7428 10.3842/umzh.v76i5.7428 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 5 (2024); 776 - 781 Український математичний журнал; Том 76 № 5 (2024); 776 - 781 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7428/9941 Copyright (c) 2024 Marek Lassak |
| spellingShingle | Lassak, Marek Lassak, Marek Estimation of the centroid Banach–Mazur distance between planar convex bodies |
| title | Estimation of the centroid Banach–Mazur distance between planar convex bodies |
| title_alt | Estimation of the centroid Banach–Mazur distance between planar convex bodies |
| title_full | Estimation of the centroid Banach–Mazur distance between planar convex bodies |
| title_fullStr | Estimation of the centroid Banach–Mazur distance between planar convex bodies |
| title_full_unstemmed | Estimation of the centroid Banach–Mazur distance between planar convex bodies |
| title_short | Estimation of the centroid Banach–Mazur distance between planar convex bodies |
| title_sort | estimation of the centroid banach–mazur distance between planar convex bodies |
| topic_facet | Banach-Mazur distance centroid Banach-Mazur distance convex body centroid affine-regular hexagon Banach-Mazur distance |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7428 |
| work_keys_str_mv | AT lassakmarek estimationofthecentroidbanachmazurdistancebetweenplanarconvexbodies AT lassakmarek estimationofthecentroidbanachmazurdistancebetweenplanarconvexbodies |