Asymptotic approximation of convex curves; the Hausdorff metric case

Abstract.

L. Fejes Tóth gave asymptotic formulae as $n\to \infty$ for the distance between a smooth convex disc and its best approximating inscribed or circumscribed polygons with at most n vertices, where the distance is in the sense of the Hausdorff metric. In this paper these formulae are extended by specifying the second terms of the asymptotic expansions.