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Öğe I-convergence of positive linear operators on Lp weighted spaces(Eudoxus Press, Llc, 2008) Dirik, F.; Aral, A.; Demirci, K.In this paper, using the concept of I-convergence we prove a Korovkin type approximation by means of positive linear operators defined on the weighted space L-p,L-w(R). Also we state its n-dimensional analogue for the weighted space L-p,L-Omega(R-n). Also we display an example such that our method of convergence is stronger than the usual convergence in the weighted spaces L-p,L-w(R) and L-p,L-Omega(R-n).Öğe Subspaces of A-statistically convergent sequences(Akademiai Kiado, 2003) Demirci, K.; Khan, M.K.; Orhan, C.Let A be a nonnegative regular summability method. In this paper we deal with various subspaces of A-statistically convergent sequences by using the rate of convergence concept. We show, under certain conditions, that these subspaces cannot be endowed with a locally convex FK-topology. We also describe multipliers for bounded A-statistically convergent and bounded A-statistically null sequences with the appropriate rate and provide a Steinhaus type result.