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OALib Journal期刊
ISSN: 2333-9721
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A-Statistical Korovkin type approximation theorem for function of two variables on an infinite interval

Keywords: A-statistical convergence of double sequence, positive linear operator, the Korovkin theorem, Baskakov operator.

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Abstract:

In this paper, using the concept of A-statistical convergence for double sequences, we provide a Korovkin-type approximation theorem for positive linear operators on the space of all real-valued uniform continuous functions on [ 0, ¥) ′ [ 0, ¥) with the property that have a finite limit at the infinity. Then, we display an application which shows that our new result is stronger than its classical version.

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