Δ_kl-Lacunary Statistical Convergence via Neutrosophic Normed Spaces for Double Sequences

The aim of this paper is concerned with the extension of Lacunary ∆ - Statistically convergent and Lacunary ∆ - Statistically Cauchy sequences via Neutrosophic Normed Space (NNS) to double sequences. The study in analogy also define and introduce ∆_kj- statistically convergent and characterized ∆_kj for which 〖st〗_(〖 Δ〗_kj)^R (θ)-lims_kl=s or s_kj-s(S_(〖 Δ〗_kj)^R ), as k→∞. 〖 S〗_(〖 Δ〗_kj)^R (θ) denote set of all 〖 Δ〗_kj-Lacunary statistical convergence sequences via neutrosophic normed space (U,μ_((R,ν)),ϱ_((R,U),) ζ_((R,F)),⨂▒〖,⊡〗). Moreover, we present their characteristic devising double Lacunary density and derive the inclusion relations between these concepts.