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

Abstract

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.