On the self-perimeter of quadrangles for gauges

Original Paper


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 

Copyright information

© The Managing Editors 2011

Authors and Affiliations

  1. 1.Faculty of MathematicsUniversity of TechnologyChemnitzGermany
  2. 2.Department of Industrial Computer TechnologiesCherkassy State Technological UniversityCherkassyUkraine

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