A REPRESENTATION FOR THE SUPPORT FUNCTION OF A CONVEX BODY
DOI:
https://doi.org/10.46991/PSYU:A/2015.49.3.003Keywords:
integral geometry, convex body, zonoid, support functionAbstract
In this paper a formula for a translation invariant measure of planes intersecting a n-dimensional convex body in terms of curvatures of 2-dimensional projections of the body was found. The paper also gives a new simple proof of the representation for the support function of an origin symmetric 3-dimensional convex body, which was obtained by means of a stochastic approximation of the convex body.
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Published
2015-12-15
How to Cite
Aramyan, R., & Manucharyan, A. (2015). A REPRESENTATION FOR THE SUPPORT FUNCTION OF A CONVEX BODY. Proceedings of the YSU A: Physical and Mathematical Sciences, 49(3 (238), 3–7. https://doi.org/10.46991/PSYU:A/2015.49.3.003
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Mathematics
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Copyright (c) 2015 Proceedings of the YSU
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