A generalization of domains of constant width

被引：0

作者：

Zhang D. ^{[1
,2
]}

机构：

[1] Department of Mathematics, Tongji University, Shanghai

[2] College of mathematics and statistics, Hexi University, Zhangye

来源：

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry | 2016年 / 57卷 / 1期

基金：

中国国家自然科学基金;

关键词：

Constant width; Convex domain; Diameter; Equiangular polygon; Higher order width; Perimeter;

D O I：

10.1007/s13366-015-0252-8

中图分类号：

学科分类号：

摘要：

Recently, Ou and Pan introduced the higher order width functions of convex domains, and posed a generalization of the Blaschke–Lebesgue problem: among all convex domains having constant (Formula presented.) -order width, which has the least possible area. In this paper, we continue to study convex domains having constant (Formula presented.) -order width and obtain some characterizations of this class of sets, which are slightly different from those of constant width convex domains. © 2015, The Managing Editors.

引用

页码：259 / 270

页数：11

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