Some results on rough $\mathcal{I}_{2}$-lacunary statistical convergence of complex uncertain sequences
نویسندگان
1 Department of Mathematics, Faculty of Science, Bartın University, Bartın, Turkey.
2 Department of Mathematics, Bartin University, Bartın, Turkey.
3 Department of Mathematics, Suleyman Demirel University, 32260, Isparta, Turkey.
doi
10.30504/jims.2024.457746.1179چکیده
This paper introduces rough I₂-lacunary statistical convergence for complex uncertain double sequences (CUDS), extending concepts of rough convergence, rough lacunary statistical convergence, and rough I₂-convergence. We explore this notion across four aspects of uncertainty: almost surely, measure, mean, and distribution. Additionally, we investigate rough I₂-lacunary statistical convergence in p-distance and metric spaces for CUDS. The study illustrates the interconnectedness of these convergence concepts and offers observations on their relationships.
