Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

, 52:191

On the self-perimeter of quadrangles for gauges


  • H. Martini
    • Faculty of MathematicsUniversity of Technology
    • Department of Industrial Computer TechnologiesCherkassy State Technological University
Original Paper

DOI: 10.1007/s13366-011-0018-x

Cite this article as:
Martini, H. & Shcherba, A. Beitr Algebra Geom (2011) 52: 191. doi:10.1007/s13366-011-0018-x


We give a lower bound on the self-perimeter of unit circles of convex distance functions (gauges) that have the shapes of quadrangles.


Convex distance functions Gauges Minkowski plane Normalizing quadrangle Normed planes Self-perimeter Unit circles

Mathematics Subject Classification (2000)

52A10 52A21 52A38

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