Hausdorff diameter of a nonsymmetric class of vector functions

• Date: 1998
• Main Authors: Polovina, A. A., Половина, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4812
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In the space of parametrically determined m-dimensional curves with the Hausdorff metric, we find the diameter of a class of curves whose coordinate functions satisfy the Lipschitz condition on some segment and take fixed values at its endpoints. We obtain the dependence of relations determining the...