p. 159 - 169 Approximation for periodic functions via statistical
A-summabilityS. Karakuş and K. Demirci Received: March 28, 2011;
Accepted: June 26, 2012
Abstract.
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.
Keywords:
Statistical convergence; statistical A-summability; positive
linear operator; Korovkin type approximation theorem; Fejér operators.
AMS Subject classification:
Primary: 40G15, 41A25, 41A36, 47B38.
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