On the generalization of Erdős-Vincze's theorem about the approximation of closed convex plane curves by polyellipses

Csaba Vincze, Zoltán Kovács, Zsófia Fruzsina Csorvássy

A polyellipse is a curve in the Euclidean plane all of whose points have the same sum of distances from finitely many given points (focuses). The classical version of Erdős-Vincze'…