Four Dimensional Matrix Operators on the Double Series Spaces of Weighted Means

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Celal Bayar Üniversitesi Fen Bilimleri Dergisi
Cilt: 21 Sayı: 2
Four Dimensional Matrix Operators on the Double Series Spaces of Weighted Means

Four Dimensional Matrix Operators on the Double Series Spaces of Weighted Means

Authors : Feride Çalışır, Canan Hazar Gulec

Pages : 159-168

View : 92 | Download : 202

Publication Date : 2025-06-27

Article Type : Research Paper

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.
Keywords : Double sequences, Dual spaces, Four dimensional weighted means, Four dimensional matrix transformations, Pringsheim convergence

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