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...
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| Datum: | 2024 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2024
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7428 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | 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 $E^2.$ |
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| DOI: | 10.3842/umzh.v76i5.7428 |