The spaces of B(r,s,t,u) strongly almost convergent double sequences and matrix transformations

Almost and Strongly Almost B(r ̃,s ̃,t ̃,u ̃)- Summable Double Sequences

“…Remark 0.1. Note that in the case s m = s, r m = r for all m ∈ N and t n = t, u n = u for all n ∈ N, the four-dimensional sequential band matrix B( r, s, t, u) is reduced to the four-dimensional generalized difference matrix B(r, s,t, u) which was defined by , and studied in Tuǧ (2017b), , , Tuǧ (2021), Tuǧ (2017a), Tug (2017). Moreover, in the case s m = −r m = 1 for all m ∈ N and t n = −u n = −1 for all n ∈ N, the four-dimensional sequential band matrix B( r, s, t, u) is reduced to the four-dimensional difference matrix ∆(1, −1, 1, −1) (see C ¸apan and Bas ¸ar (2019)).…”