@article{article_1469619, title={Further Results on (Δ_s^j,f)-Lacunary Statistical Convergence of Double Sequences of order α}, journal={Süleyman Demirel University Faculty of Arts and Science Journal of Science}, volume={19}, pages={86–97}, year={2024}, DOI={10.29233/sdufeffd.1469619}, author={Kişi, Ömer and Akbıyık, Rümeysa and Gürdal, Mehmet}, keywords={lacunary sequences, lacunary statistical convergence, Modulus function}, abstract={This paper defines the space S_(θ_uv)^α (Δ_s^j,f), encompassing all sequences that are (Δ_s^j,f)-lacunary statistically convergent of order α, utilizing an unbounded modulus function f, a double lacunary sequence θ_uv={(k_u,l_v )}, a generalized difference operator Δ_s^j, and a real number α ∈ (0,1]. Additionally, the space ω_(θ_uv)^α (Δ_s^j,f) is introduced to include all sequences that are strongly (Δ_s^j,f)-lacunary summable of order α. The paper investigates properties associated with these spaces, and under specific conditions, inclusion relations between the spaces S_(θ_uv)^α (Δ_s^j,f) and ω_(θ_uv)^α (Δ_s^j,f) are established.}, number={2}, publisher={Süleyman Demirel University}