Estimation of the centroid Banach–Mazur distance between planar convex bodies

  • Marek Lassak University of Science and Technology, Bydgoszcz, Poland
Keywords: Banach-Mazur distance, centroid Banach-Mazur distance, convex body, centroid, affine-regular hexagon

Abstract

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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Published
02.06.2024
How to Cite
Lassak, M. “Estimation of the Centroid Banach–Mazur Distance Between Planar Convex Bodies”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 76, no. 5, June 2024, pp. 776 -81, doi:10.3842/umzh.v76i5.7428.
Section
Short communications