论文标题
平面凸体之间的Centroid Banach-Mazur距离的估计值
An estimate of the centroid Banach-Mazur distance between planar convex bodies
论文作者
论文摘要
我们考虑了Banach-Mazur距离的变体$δ_{BM}^{\ rm Cen}(c,d)$ c,d $ c,d $ $ e^d $的$,并要求其质心重合。我们证明$δ_{bm}^{\ rm cen}(c,d)\ leq \ frac {69} {17} {17} $对于每个$ c,d $ of $ e^2 $。
We consider the variant of the Banach-Mazur distance $δ_{BM}^{\rm cen} (C, D)$ of two convex bodies $C, D$ of $E^d$ with the additional requirement that the centroids of them coincide. We prove that $δ_{BM}^{\rm cen} (C, D) \leq \frac{69}{17}$ for every $C, D$ of $E^2$.