Publication: Extremal Problems for Convex Curves with a Given Self Chebyshev Radius
Дата
2021
Авторы
Balestro, V.
Martini, H.
Nikonorov, Y.
Nikonorova, Y.
Journal Title
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Volume Title
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Аннотация
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.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.
Описание
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Цитирование
Extremal Problems for Convex Curves with a Given Self Chebyshev Radius / Balestro, V. [et al.] // Results in Mathematics. - 2021. - 76. - № 2. - 10.1007/s00025-021-01394-6
URI
https://www.doi.org/10.1007/s00025-021-01394-6
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https://openrepository.mephi.ru/handle/123456789/23888