本篇論文將先介紹較統計收斂與A-統計收斂更為一般化的理想收斂，研究主軸為正線性算子，並以理想收斂來討論無界連續函數空間上的Korovkin近似定理。更進一步將所討論的空間擴展至高維度算子值或實數值函數空間。 The purpose of this thesis is to study a Korovkin type approximation of unbounded functions by means of ideal convergence. The concept of ideal convergence is the generalizations of statistical convergence and A-statistical convergence. We will discuss the approximations of unbounded, operator-valued and real-valued functions with noncompact supports in R^m.
