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On the self-perimeter of pentagonal gauges

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Abstract

We give a sharp lower estimate on the self-perimeter of pentagonal gauges, thus solving the last respective case for polygonal unit circles with respect to convex distance functions.

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Authors and Affiliations

  1. Faculty of Mathematics, University of Technology, 09107, Chemnitz, Germany

    Horst Martini

  2. Department of Industrial Computer Technologies, Cherkassy State Technological University, Shevchenko Blvd., 460, Cherkassy, 18006, Ukraine

    Anatoly Shcherba

Authors
  1. Horst Martini
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  2. Anatoly Shcherba
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Correspondence to Horst Martini.

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Martini, H., Shcherba, A. On the self-perimeter of pentagonal gauges. Aequat. Math. 84, 157–183 (2012). https://doi.org/10.1007/s00010-012-0126-1

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  • DOI: https://doi.org/10.1007/s00010-012-0126-1

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