Generalized statistical convergence in 2-normed spaces
Keywords: statistical convergence, ?-statistical convergence, de la Vallée-Poussin means, 2-norm
AbstractIn this paper we introduce the concept of λ-statistical convergence in 2-normed spaces. Some inclusion relations between the sets of statistically convergent, λ-statistically convergent and statistically λ-convergent sequences in 2-normed spaces are established, where λ = (λm) is a non-decreasing sequence of positive numbers tending to infinity such that λm+1 ≤ λm + 1, λ1 = 1.
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