تقريب دوال فضاء سميرنوف أورليتش الموزن على منطقة ثنائية الترابط في المستوي العقدي

Abstract

In this research, our work focused on proving an important result in the field of the theory of approximation of complex functions, which is concerns the approximation of a family of functions that belong to the weighed Smirnov-Orlicz space defined on a doubly – connected domain in the complex plane bounded by two curves belonging to the class of  Dini-smooth curves with rational functions by using the partial sums of Faber-Lorent series.