Description of Convex Curves

• Datum: 2000
• Hauptverfasser: Ligun, A. A., Shumeiko, A. A., Лигун, А. А., Шумейко, А. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2000
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4490
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We present a description of convex curves, which enables one to reduce the problem of approximation of a convex curve by piecewise circular lines in the Hausdorff metric to the problem of approximation of 2π-periodic functions by trigonometric splines in the uniform metric. We describe certain prope...