@article{article_1479195, title={Four Dimensional Matrix Operators on the Double Series Spaces of Weighted Means}, journal={Celal Bayar University Journal of Science}, volume={21}, pages={159–168}, year={2025}, DOI={10.18466/cbayarfbe.1479195}, author={Çalışır, Feride and Gulec, Canan Hazar}, keywords={Double sequences, Dual spaces, Four dimensional weighted means, Four dimensional matrix transformations, Pringsheim convergence}, abstract={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.}, number={2}, publisher={Manisa Celal Bayar Üniversitesi}