@article{article_1573487, title={(∆_v^m )_u-Statistical Boundedness and Convergence of Order 𝛂}, journal={Mus Alparslan University Journal of Science}, volume={13}, pages={1–6}, year={2025}, DOI={10.18586/msufbd.1573487}, author={Bektaş, Çiğdem and Dinç, Tuba}, keywords={Fark Dizileri, İstatistiksel Sınırlılık, İstatistiksel Yakınsaklık}, abstract={In this paper, we defined the concepts of (∆_v^m )_u-statistical convergence and (∆_v^m )_u-statistical boundedness for sequences u and v with nonzero terms. Then, we extend these concepts to the concepts of (∆_(λ,v)^m )_u-statistical convergence and (∆_(λ,v)^m )_u-statistical boundedness using the sequences (λ_n) satisfying the conditions λ_1=1, λ_(n+1)≤λ_n+1 and λ_n→∞ (n→∞). Then, using the concepts of (∆_(λ,v)^m )_u-statistical convergence and (∆_(λ,v)^m )_u-statistical boundedness, we defined the sequence spaces (∆_(λ,v)^m )_u (S_c^α) and (∆_(λ,v)^m )_u (S_b^α) with the help of numbers α satisfying the condition 0 <α≤1. We also investigated the inclusion relations between these sequence spaces and between the sequence spaces obtained in some special cases.}, number={1}, publisher={Muş Alparslan Üniversitesi}