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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A new double series space derived by factorable matrix.pdf | 250.25 kB | Adobe PDF | View/Open |
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