Estimation of the centroid Banach–Mazur distance between planar convex bodies
DOI:
https://doi.org/10.3842/umzh.v76i5.7428Keywords:
Banach-Mazur distance, centroid Banach-Mazur distance, convex body, centroid, affine-regular hexagonAbstract
UDC 514.18
We consider a version of the Banach–Mazur distance δcenBM(C,D) between two convex bodies C and D from Ed with an additional requirement that their centroids coincide. We prove that δcenBM(C,D)≤6917 for any two convex bodies C and D in E2.
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