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<p>We establish geometric relationships between the average scale-invariant Cassinian metric and other hyperbolic type metrics. We study the local convexity properties of the scale-invariant metric balls in Euclidean once punctured spaces. In addition, we study Lipschitz-conditions with respect to these metrics.</p>

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On the average scale-invariant Cassinian metric

  • 期刊论文

  • 发表日期：

    2026年3月12日

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  • M. Mohapatra,
  • A. Rasila,
  • M. Vuorinen

摘要

We establish geometric relationships between the average scale-invariant Cassinian metric and other hyperbolic type metrics. We study the local convexity properties of the scale-invariant metric balls in Euclidean once punctured spaces. In addition, we study Lipschitz-conditions with respect to these metrics.