Inclusion Properties of the Triangular Ratio Metric Balls

IF 0.7 4区数学 Q2 MATHEMATICS

Bulletin of The Iranian Mathematical Society Pub Date : 2023-11-30 DOI:10.1007/s41980-023-00837-w

Oona Rainio

引用次数: 0

Abstract

Inclusion properties are studied for balls of the triangular ratio metric, the hyperbolic metric, the \(j^*\)-metric, and the distance ratio metric defined in the unit ball domain. Several sharp results are proven and a conjecture about the relation between triangular ratio metric balls and hyperbolic balls is given. An algorithm is also built for drawing triangular ratio circles or three-dimensional spheres.

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三角形比公制球的夹杂性质

研究了单位球域定义的三角形比度、双曲度、\(j^*\) -度和距离比度球的包合物性质。证明了几个尖锐的结果，并给出了三角比度量球与双曲球之间关系的一个猜想。建立了三角形比例圆或三维球体的绘制算法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Bulletin of The Iranian Mathematical Society Mathematics-General Mathematics

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： The Bulletin of the Iranian Mathematical Society (BIMS) publishes original research papers as well as survey articles on a variety of hot topics from distinguished mathematicians. Research papers presented comprise of innovative contributions while expository survey articles feature important results that appeal to a broad audience. Articles are expected to address active research topics and are required to cite existing (including recent) relevant literature appropriately. Papers are critically reviewed on the basis of quality in its exposition, brevity, potential applications, motivation, value and originality of the results. The BIMS takes a high standard policy against any type plagiarism. The editorial board is devoted to solicit expert referees for a fast and unbiased review process.