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Four-dimensional matrix transformation and A-statistical fuzzy Korovkin type approximation

Demirci K., Karakuş S.

Demonstratio Mathematica

2013

Vol. 46, nr 1

37--49

In this paper, we prove a fuzzy Korovkin-type approximation theorem for fuzzy positive linear operators by using A-statistical convergence for four-dimensional summability matrices. Also, we obtain rates of A-statistical convergence of a double sequence of fuzzy positive linear operators for four-dimensional summability matrices.

On lacunary statistical limit points

Demirci K.

Demonstratio Mathematica

2002

Vol. 35, nr 1

92-101

In this paper we study the concepts of lacunary statistical limit points and lacunary statistical cluster points as well as the concept of lacunary statistical core for a bounded complex number sequence.

A-statistical core of a sequence

Demirci K.

Demonstratio Mathematica

2000

Vol. 33, nr 2

343-353

In this paper we extend the concepts of statistical limit superior and interior (as introduced by Fridy and Orhan) to A-statistical limit superior and inferior and give some A-statistical analogue of properties of statistical limit superior and inferior for a sequence of real numbers. Also we extend the concept of statistical core to A-statistical core and get necessary and sufficient conditions on a matrix T so that the Knopp core of Tx is contained in the A-statistical core of a bounded complex number sequence x.