TY  - JOUR
T1  - (∆_v^m )_u-Statistical Boundedness and Convergence of Order 𝛂
TT  - 𝛂 Mertebesinde İstatatistiksel Yakınsaklık ve Sınırlılık
AU  - Dinç, Tuba
AU  - Bektaş, Çiğdem
PY  - 2025
DA  - June
Y2  - 2025
DO  - 10.18586/msufbd.1573487
JF  - Mus Alparslan University Journal of Science
JO  - MAUN Fen Bil. Dergi.
PB  - Mus Alparslan University
WT  - DergiPark
SN  - 2147-7930
SP  - 1
EP  - 6
VL  - 13
IS  - 1
LA  - en
AB  - 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
KW  - Difference sequences
KW  - Statistical Boundedness
KW  - Statistical Convergence
N2  - Bu makalede, terimleri sıfırdan farklı u ve v  sayı dizileri için (∆_v^m )_u-istatistiksel yakınsaklık ve (∆_v^m )_u-istatistiksel sınırlılık kavramlarını tanımladık. Daha sonra bu kavramları  λ_1=1, λ_(n+1)≤λ_n+1  ve λ_n→∞  (n→∞) şartını sağlayan (λ_n) dizilerini kullanarak (∆_(λ,v)^m )_u-istatistiksel yakınsaklık ve (∆_(λ,v)^m )_u-istatistiksel sınırlılık kavramlarına genişlettik. Daha sonra (∆_(λ,v)^m )_u-istatistiksel yakınsaklık ve (∆_(λ,v)^m )_u-istatistiksel sınırlılık kavramlarını kullanarak 0
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UR  - https://doi.org/10.18586/msufbd.1573487
L1  - https://dergipark.org.tr/en/download/article-file/4314704
ER  -