Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/58373
Title: A new double series space derived by factorable matrix and four-dimensional matrix transformations
Authors: Ilikkan Ceylan, Aslihan
Hazar Gulec, Canan
Keywords: 4D factorable matrix
dual spaces
4D matrix transformations
double sequences
Pringsheim convergence
Domain
Publisher: Amer Inst Mathematical Sciences-Aims
Abstract: In this study, we introduce a new double series space |F- a,b(u,theta)|(k) using the four dimensional factorable matrix F and absolute summability method for k >= 1. Also, examining some algebraic and topological properties of |F- a,b(u,theta)|(k), we show that it is norm isomorphic to the well-known double sequence space L-k for 1 <= k < infinity. Furthermore, we determine the alpha-, beta (bp)- and gamma-duals of the spaces F|F- a,b(u,theta)|(k) for k >= 1. Additionally, we characterize some new four dimensional matrix transformation classes on double series space |F- a,b(u,theta)|(k). Hence, we extend some important results concerned on Riesz and Cesa`ro a,b matrix methods to double sequences owing to four dimensional factorable matrix.
URI: https://doi.org/10.3934/math.20241492
https://hdl.handle.net/11499/58373
ISSN: 2473-6988
Appears in Collections:Fen Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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