Some base spaces and core theorems of new type
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Authors
Zarife Zararsiz
- Science and Art Faculty, Nevşehir Hacı Bektaş Veli University, 50300, Nevşehir, Turkey.
Mehmet Şengönül
- Science and Art Faculty, Nevşehir Hacı Bektaş Veli University, 50300, Nevşehir, Turkey.
Kuddusi Kayaduman
- Science and Art Faculty, G. Antep University, 27000, G. Antep, Turkey.
Abstract
In this paper, we constructed two new base sequence spaces, denoted \(rf\) and \(rf_0\), and we investigated some
of their important properties. Then, by using matrix domains, we defined other sequence spaces on these
base spaces, called \(zrf\) and \(zrf_0\). Finally, we introduced the \(B_\hat{R}\) core of a complex-valued sequence and we
examined some inclusion theorems related to this new type of core.
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ISRP Style
Zarife Zararsiz, Mehmet Şengönül, Kuddusi Kayaduman, Some base spaces and core theorems of new type, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 2, 377--391
AMA Style
Zararsiz Zarife, Şengönül Mehmet, Kayaduman Kuddusi, Some base spaces and core theorems of new type. J. Nonlinear Sci. Appl. (2016); 9(2):377--391
Chicago/Turabian Style
Zararsiz, Zarife, Şengönül, Mehmet, Kayaduman, Kuddusi. "Some base spaces and core theorems of new type." Journal of Nonlinear Sciences and Applications, 9, no. 2 (2016): 377--391
Keywords
- Almost convergence
- base space
- isomorphism
- dual
- matrix transformation
- core theorem
MSC
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