Geodesic
``Irrational'' constructions in convex geometry
Algebra i analiz, Tome 29 (2017) no. 1, pp. 222-236.

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Several ways to define various “irrational” functions of convex bodies, like the geometric mean or power functions, are discussed.
Keywords: convex body, Minkowski sum, support function, ellipsoid, polar body, polarity map. 
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V. Milman; L. Rotem. ``Irrational'' constructions in convex geometry. Algebra i analiz, Tome 29 (2017) no. 1, pp. 222-236. http://geodesic.mathdoc.fr/item/AA_2017_29_1_a9/

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