Some Geometric and Analytic Properties of Closed Convex Curves in

Kamal Ataalla Al-Banawi, Rateb Hamed Al-Btoush

Abstract


In this paper we study closed convex curves in . We calculate the area of a convex domain in using the support function of its boundary which is a closed convex curve. We use Fourier series of the support function to count the extreme points on a curve of constant width in . Finally, we study closed convex curves in from an analytic point of view as objects of bounded variation.

Keywords


Convex Curves, Support Function, Constant Width, Functions of Bounded Variation

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