Matrix Transformations and Statistical Convergence II

نویسندگان

  • Bruno de Malafosse
  • Vladimir Rakočević
چکیده

In this paper we extend some of our recent results given in [15], so we consider a matrix transformation A = (ank)n,k≥1 and say that a sequence X = (xn)n≥1 is A-statistically convergent to L ∈ V with respect to the intuitionistic fuzzy normed space (IFNS) V if lim n→∞ 1 n |{k ≤ n : ν ([AX]k − L, t) ≥ ε or 1− μ ([AX]k − L, t) ≥ ε}| = 0 for any ε > 0. The aim of this paper is to give conditions onX to haveA-statistical convergence on IFNS V . Then, among other things, we consider the cases when A is either of the matrices Ñq,χ, N q, NpN q, D1/τ∆(λ), or C (λ). AMS Subject Classifications: 40C05, 40J05, 46A15.

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تاریخ انتشار 2011