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 Statistical $A$-summability of double sequences and a Korovkin type approximation theorem Bull. Korean Math. Soc. 2012 Vol. 49, No. 4, 851-861 https://doi.org/10.4134/BKMS.2012.49.4.851Published online July 1, 2012 Cemal Belen, Mohammad Mursaleen, and Mustafa Yildirim Cumhuriyet University, Aligarh Muslim University, Cumhuriyet University Abstract : In this paper, we define the notion of statistical $A$-summability for doublesequences and find its relation with $A$-statistical convergence. We apply our new method of summability to prove a Korovkin-type approximation theorem for a function of two variables. Furthermore, through an example, it is shown that our theorem is stronger than classical and statistical cases. Keywords : statistical convergence, statistical $A$-summability, Korovkin theorem, double sequence, positive linear operators MSC numbers : 40A35, 41A36 Downloads: Full-text PDF