A REPRESENTATION FOR THE SUPPORT FUNCTION OF A CONVEX BODY

Authors

  • R.H. Aramyan Russian-Armenian (Slavonic) University, Armenia, Institute of Mathematics NAS RA
  • A.G. Manucharyan Russian-Armenian (Slavonic) University, Armenia

DOI:

https://doi.org/10.46991/PSYU:A/2015.49.3.003

Keywords:

integral geometry, convex body, zonoid, support function

Abstract

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

Issue

Vol. 49 No. 3 (238) (2015)

Section

Mathematics

License

Copyright (c) 2015 Proceedings of the YSU

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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