Extremal Problems for Convex Curves with a Given Self Chebyshev Radius

Autor:	Yulia Nikonorova, Vitor Balestro, Horst Martini, Yurii Nikonorov
Rok vydání:	2021
Předmět:	Applied Mathematics 010102 general mathematics Mathematical analysis Regular polygon Boundary (topology) Radius Computer Science::Computational Geometry 01 natural sciences Chebyshev filter 010101 applied mathematics Perimeter Mathematics (miscellaneous) Euclidean geometry Mathematics::Metric Geometry 0101 mathematics Mathematics
Zdroj:	Results in Mathematics. 76
ISSN:	1420-9012 1422-6383
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::38153fa4df777f6c1b1cef173e734c76 https://doi.org/10.1007/s00025-021-01394-6 Zobrazit plný text záznamu Full text from SpringerLink