Description of Convex Curves

  • A. A. Ligun
  • A. A. Shumeiko

Abstract

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 properties of convex curves.
Published
25.07.2000
How to Cite
LigunA. A., and ShumeikoA. A. “Description of Convex Curves”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 52, no. 7, July 2000, pp. 908-22, https://umj.imath.kiev.ua/index.php/umj/article/view/4490.
Section
Research articles