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A-Statistical Korovkin type approximation theorem for function of two variables on an infinite interval
K. Demirci and S. Karakuş
Received: June 11, 2010; Accepted: March 6, 2012
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.
Keywords: A-statistical convergence of double sequence; positive linear operator; the Korovkin theorem; Baskakov operator.
AMS Subject classification: Primary: 40G15, 41A36
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