Approximation for periodic functions via statistical A-summability
Acta mathematica Universitatis Comenianae, Tome 81 (2012) no. 2, pp. 159-169
S. Karakuş; K. Demirci; S. Karakuş; K. Demirci. Approximation for periodic functions via statistical A-summability. Acta mathematica Universitatis Comenianae, Tome 81 (2012) no. 2, pp. 159-169. http://geodesic.mathdoc.fr/item/AMUC_2012_81_2_a2/
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     author = {S. Karaku\c{s} and K. Demirci and S. Karaku\c{s} and K. Demirci},
     title = { Approximation for periodic functions via statistical {A-summability}},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {159--169},
     year = {2012},
     volume = {81},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2012_81_2_a2/}
}
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In this paper, using the concept of statistical A-summability which is stronger than the A-statistical convergence we prove a Korovkin type approximation theorem for sequences of positive linear operator defined on C*(p) which is the space of all p-periodic and continuous functions on R, the set of all real numbers. We also compute the rates of statistical A-summability of sequence of positive linear operators.