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Extremal convex bodies for affine measures of symmetry

Volume 259 / 2021

Evgenii Safronenko Studia Mathematica 259 (2021), 153-173 MSC: Primary 52A23; Secondary 52A20, 52A40. DOI: 10.4064/sm191111-6-8 Published online: 21 December 2020


This paper is devoted to measures of symmetry based on the distance from the centroid to one of the centers of the John and the Löwner ellipsoid. The accuracy of the derived upper bounds for the relevant measures of symmetry is proven.


  • Evgenii SafronenkoSt. Petersburg School of Physics,
    Mathematics, and Computer Science
    National Research University Higher School of Economics
    3 Kantemirovskaya Ulitsa, St. Petersburg
    Russian Federation

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