On Relaxing the Identity Operator in Korovkin Theorem via Statistical Convergence

T. Yurdakadim, E. Tas
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Abstract

An operator version of the Korovkin theorem has recently been obtained by D. Popa. With the motivation of this result, we have extended it by using a more powerful convergence which also includes ordinary convergence. We have also presented an example to illustrate the strength of our theorem.
用统计收敛放宽科洛夫金定理中的恒等算子
最近,D. Popa得到了科洛夫金定理的一个算子版本。在这个结果的激励下,我们用一个更强大的收敛性对它进行了扩展,这个收敛性也包括普通收敛性。我们还给出了一个例子来说明我们的定理的强度。
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