Some base spaces and core theorems of new type


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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