论文标题
具有给定相对Chebyshev半径的凸曲线的极端问题
Extreme problems for convex curves with given relative Chebyshev radius
论文作者
论文摘要
该论文专门针对欧几里得平面的凸曲线和多边形的一些极端问题，指的是相对Chebyshev半径。特别是，我们确定了任意三角形的相对Chebyshev半径。此外，我们得出了给定相对Chebyshev半径的凸曲线和凸N型的最大周长。
The paper is devoted to some extremal problems for convex curves and polygons in the Euclidean plane referring to the relative Chebyshev radius. In particular, we determine the relative Chebyshev radius for an arbitrary triangle. Moreover, we derive the maximal possible perimeter for convex curves and convex n-gons of a given relative Chebyshev radius.
