A New RH-Regular Matrix Derived by Jordan’s Function and Its Domains on Some Double Sequence Spaces

In the present study, we introduce a new RH-regular 4D (4-dimensional) matrix derived by Jordan’s function and define double sequence spaces by using domains of 4D Jordan totient matrix Jt on some classical double sequence spaces. Also, the α-, βϑ-, and γ-duals of these spaces are determined. Finall...

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Main Authors: Sezer Erdem, Serkan Demiriz
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/5594751
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author Sezer Erdem
Serkan Demiriz
author_facet Sezer Erdem
Serkan Demiriz
author_sort Sezer Erdem
collection DOAJ
description In the present study, we introduce a new RH-regular 4D (4-dimensional) matrix derived by Jordan’s function and define double sequence spaces by using domains of 4D Jordan totient matrix Jt on some classical double sequence spaces. Also, the α-, βϑ-, and γ-duals of these spaces are determined. Finally, some classes of 4D matrices on these spaces are characterized.
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institution Kabale University
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language English
publishDate 2021-01-01
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series Journal of Function Spaces
spelling doaj-art-f637342fb6c54cf5beacba86e74924d02025-02-03T01:29:19ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55947515594751A New RH-Regular Matrix Derived by Jordan’s Function and Its Domains on Some Double Sequence SpacesSezer Erdem0Serkan Demiriz1Battalgazi Farabi Anatolian Imam Hatip High School, 44210 Malatya, TurkeyDepartment of Mathematics, Tokat Gaziosmanpasa University, 60250 Tokat, TurkeyIn the present study, we introduce a new RH-regular 4D (4-dimensional) matrix derived by Jordan’s function and define double sequence spaces by using domains of 4D Jordan totient matrix Jt on some classical double sequence spaces. Also, the α-, βϑ-, and γ-duals of these spaces are determined. Finally, some classes of 4D matrices on these spaces are characterized.http://dx.doi.org/10.1155/2021/5594751
spellingShingle Sezer Erdem
Serkan Demiriz
A New RH-Regular Matrix Derived by Jordan’s Function and Its Domains on Some Double Sequence Spaces
Journal of Function Spaces
title A New RH-Regular Matrix Derived by Jordan’s Function and Its Domains on Some Double Sequence Spaces
title_full A New RH-Regular Matrix Derived by Jordan’s Function and Its Domains on Some Double Sequence Spaces
title_fullStr A New RH-Regular Matrix Derived by Jordan’s Function and Its Domains on Some Double Sequence Spaces
title_full_unstemmed A New RH-Regular Matrix Derived by Jordan’s Function and Its Domains on Some Double Sequence Spaces
title_short A New RH-Regular Matrix Derived by Jordan’s Function and Its Domains on Some Double Sequence Spaces
title_sort new rh regular matrix derived by jordan s function and its domains on some double sequence spaces
url http://dx.doi.org/10.1155/2021/5594751
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