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A-Statistical Korovkin type approximation theorem for function of two variables on an infinite interval

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Author(s): K. Demirci | S. Karakuş

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXXI;
Issue: 2;
Start page: 151;
Date: 2012;
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Keywords: A-statistical convergence of double sequence | positive linear operator | the Korovkin theorem | Baskakov operator

ABSTRACT
In this paper, using the concept of A-statistical convergence for doublesequences, we provide a Korovkin-type approximation theorem for positivelinear operators on the space of all real-valued uniform continuousfunctions on [ 0, ¥) ´ [ 0, ¥) withthe property that have a finite limit at the infinity. Then, we display anapplication which shows that our new result is stronger than its classicalversion.
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