Description of Convex Curves

Author: Ligun A.A.   Shumeiko A.A.  

Publisher: Springer Publishing Company

ISSN: 0041-5995

Source: Ukrainian Mathematical Journal, Vol.52, Iss.7, 2000-07, pp. : 1040-1057

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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 2-periodic functions by trigonometric splines in the uniform metric. We describe certain properties of convex curves.