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STATISTICAL A-SUMMABILITY OF DOUBLE SEQUENCES AND A KOROVKIN TYPE APPROXIMATION THEOREM

  • Belen, Cemal ;
  • Mursaleen, Mohammad ;
  • Yildirim, Mustafa
  • Received : 2011.04.23
  • Published : 2012.07.31

Abstract

In this paper, we define the notion of statistical A-summability for double sequences 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

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