TY  - JOUR
T1  - Four Dimensional Matrix Operators on the Double Series Spaces of Weighted Means
AU  - Gulec, Canan Hazar
AU  - Çalışır, Feride
PY  - 2025
DA  - June
Y2  - 2025
DO  - 10.18466/cbayarfbe.1479195
JF  - Celal Bayar University Journal of Science
JO  - CBUJOS
PB  - Manisa Celal Bayar Üniversitesi
WT  - DergiPark
SN  - 1305-130X
SP  - 159
EP  - 168
VL  - 21
IS  - 2
LA  - en
AB  - The main purpose in this study is to investigate some topological and algebraic properties of the double series space |N ̅_(p,q) |_k defined by the absolute double weighted summability methods for k≥1. Beside this, we determine the α-dual of the double series space |N ̅_(p,q) |_1 and the β(bp)- and γ- duals of the double series space |N ̅_(p,q) |_k for k≥1. Finally, we characterize some new four dimensional matrix transformation classes (|N ̅_(p,q) |_k,υ), (|N ̅_(p,q) |_1,υ) and (|N ̅_(p,q) |_1,L_k ), where υ denotes any spaces of double sequences "M" _u  and C_p. Hence, we extend some results about weighted means to double sequences.
KW  - Double sequences
KW  - Dual spaces
KW  - Four dimensional weighted means
KW  - Four dimensional matrix transformations
KW  - Pringsheim convergence
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UR  - https://doi.org/10.18466/cbayarfbe.1479195
L1  - https://dergipark.org.tr/tr/download/article-file/3908855
ER  -