令{Ln}為作用在定義於度量空間上之實數值函數所形成空間之正線性算子的序列，我們討論{Ln}在Korovkin 型近似定理中成立的某種充分條件，並且我們將證明Korovkin 型近似定理，其中{Ln}為定義於錐度量空間上之實數值函數所形成空間之正線性算子的序列。

Let {Ln} be a sequence of positive linear operators on the real-valued function space defined on a metric space, we discuss some kinds of suffcient condition on {Ln} to the Korovkin-type Approximation Theorems , and then prove the Korovkin-type Approximation Theorems with Ln on a real-valued function space defined on a cone metric spaces for all n belong to N.

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