Extremal Problems for Convex Curves with a Given Self Chebyshev Radius

被引：2

作者：

Balestro, Vitor ^{[1
]}

Martini, Horst ^{[2
]}

Nikonorov, Yurii ^{[3
]}

Nikonorova, Yulia ^{[4
]}

机构：

[1] Univ Fed Fluminense, Inst Matemat & Estat, BR-24210201 Niteroi, RJ, Brazil

[2] Tech Univ Chemnitz, Fak Math, D-09107 Chemnitz, Germany

[3] Russian Acad Sci, Vladikavkaz Sci Ctr, Southern Math Inst, Markus St 22, Vladikavkaz, Russia

[4] Natl Res Nucl Univ MEPhI, Volgodonsk Engn Tech Inst, Lenin St 73-94, Volgodonsk 347360, Russia

来源：

RESULTS IN MATHEMATICS | 2021年 / 76卷 / 02期

关键词：

Approximation by polytopes; convex curve; convex polygon; relative Chebyshev radius; self Chebyshev radius;

D O I：

10.1007/s00025-021-01394-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper is devoted to some extremal problems for convex curves and polygons in the Euclidean plane referring to the self Chebyshev radius. In particular, we determine the self Chebyshev radius for the boundary of an arbitrary triangle. Moreover, we derive the maximal possible perimeter for convex curves and boundaries of convex n-gons with a given self Chebyshev radius.

引用

页数：13

共 50 条

[1] Extremal Problems for Convex Curves with a Given Self Chebyshev Radius
Vitor Balestro
Horst Martini
Yurii Nikonorov
Yulia Nikonorova
Results in Mathematics, 2021, 76
[2] Some extremal problems on Aα-spectral radius of graphs with given size
Ye, Aiyun
Guo, Shu-Guang
Zhang, Rong
DISCRETE APPLIED MATHEMATICS, 2024, 342 : 286 - 294
[3] EXTREMAL PROBLEMS OF CHEBYSHEV TYPE
Peherstorfer, Franz
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 137 (07) : 2351 - 2361
[4] Extremal convex polygons inscribed in a given convex polygon
Kodmon, Csenge Lili
Langi, Zsolt
COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 2022, 102
[5] Extremal problems for convex polygons
Audet, Charles
Hansen, Pierre
Messine, Frederic
JOURNAL OF GLOBAL OPTIMIZATION, 2007, 38 (02) : 163 - 179
[6] Extremal problems for convex polygons
Charles Audet
Pierre Hansen
Frédéric Messine
Journal of Global Optimization, 2007, 38 : 163 - 179
[7] Extremal total distance of graphs of given radius I
Cambie, Stijn
JOURNAL OF GRAPH THEORY, 2021, 97 (01) : 104 - 122
[8] An algorithm for linearizing convex extremal problems
Gorskaya, E. S.
SBORNIK MATHEMATICS, 2010, 201 (3-4) : 471 - 492
[9] Extremal problems for spherical convex polygons
Cen Liu
Yanxun Chang
Archiv der Mathematik, 2022, 118 : 435 - 450
[10] EXTREMAL HYPERGRAPH PROBLEMS AND CONVEX HULLS
ERDOS, PL
FRANKL, P
KATONA, GOH
COMBINATORICA, 1985, 5 (01) : 11 - 26

← 1 2 3 4 5 →