Some extremal problems for polygons in the Euclidean plane

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2023-11-22 DOI:10.1007/s00010-023-00991-w

Yuriĭ Gennadievich Nikonorov, Ol’ga Yur’evna Nikonorova

引用次数: 0

Abstract

The paper is devoted to some extremal problems, related to convex polygons in the Euclidean plane and their perimeters. We present a number of results that have simple formulations, but rather intricate proofs. Related and still unsolved problems are also discussed.

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欧几里德平面上多边形的几个极值问题

本文研究欧几里得平面上凸多边形及其周长的一些极值问题。我们提出了一些公式简单，但证明却相当复杂的结果。讨论了相关的和尚未解决的问题。

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

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.