A Note on Rational Approximation with Respect to Metrizable Compactifications of the Plane

In the present note we examine possible extensions of Runge, Mergelyan and Arakelian Theorems, when the uniform approximation is meant with respect to the metric ρ of a metrizable compactification (S, ρ) of the complex plane C.  

Bibliographic Details
Main Authors: M. Fragoulopoulou, V. Nestoridis
Format: Article
Language:English
Published: University of Extremadura 2016-06-01
Series:Extracta Mathematicae
Subjects:
Online Access:https://publicaciones.unex.es/index.php/EM/article/view/405