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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Bibliographic Details
Date:2024
Main Author: Lassak, Marek
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2024
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7428
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal