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

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@article{1723684,
      author = {B. G. Ahmadu, A. M. Brono},
      title = {Δ_kl-Lacunary Statistical Convergence via Neutrosophic Normed Spaces for Double Sequences},
      journal = {Iconic Research And Engineering Journals},
      year = {2026},
      volume = {10},
      number = {4},
      pages = {728-735},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1723684.pdf},
      abstract = {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.},
      keywords = {Double sequence, Lacunary sequence, Difference sequence, Neutrosophic normed space},
      month = {October},
  }