(lambda, mu)-statistical convergence of double sequences in n-normed spaces


In this paper, we introduce the concept of (lambda, μ)-statistical convergence in n-
normed spaces, where = (r) and μ = (μs) be two non-decreasing sequences of positive real
numbers, each tending to ∞ and such that r+1 ≤ r + 1, 1 = 1; μs+1 ≤ μs + 1, μ1 = 1.
Some inclusion relations between the sets of statistically convergent and (, μ)-statistically
convergent double sequences are established. We find its relation to statistical convergence,
(C, 1, 1)-summability and strong (V, lambda, μ)-summability in n-normed spaces.

DOI Code: 10.1285/i15900932v32n2p101

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