Estimating the Surface Area of Spheres in Normed Spaces

Research output


The surface area of a polyhedron in a normed space is defined as the sum of the areas of its faces, each divided by the area of the central section of the unit ball, parallel to the face. This functional naturally extends to convex bodies. In this paper, it is proved, in particular, that the surface area of the unit sphere in any three-dimensional normed space does not exceed 8.
Original languageEnglish
Pages (from-to)531-532
Number of pages2
JournalJournal of Mathematical Sciences
Issue number5
Early online date11 Jan 2016
Publication statusPublished - 2016

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