Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A KOROVKIN TYPE APPROXIMATION THEOREM FOR DOUBLE SEQUENCES OF POSITIVE LINEAR OPERATORS OF TWO VARIABLES IN A-STATISTICAL SENSE

  • Demirci, Kamil (FACULTY OF SCIENCES AND ARTS DEPARTMENT OF MATHEMATICS SINOP UNIVERSITY) ;
  • Dirik, Fadime (FACULTY OF SCIENCES AND ARTS DEPARTMENT OF MATHEMATICS SINOP UNIVERSITY)
  • Received : 2009.03.05
  • Published : 2010.07.31
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Abstract

In this paper, we obtain a Korovkin type approximation theorem for double sequences of positive linear operators of two variables from $H_w$ (K) to C (K) via A-statistical convergence. Also, we construct an example such that our new approximation result works but its classical case does not work. Furthermore, we study the rates of A-statistical convergence by means of the modulus of continuity.

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References

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