B(r, s, t, u) - dvostruko sumabilni prostori nizova i matrične transformacije
| Autor: | Tuğ, Orhan A. |
|---|---|
| Přispěvatelé: | Rakočević, Vladmir R., Milovanović, Gradimir V., Đorđević, Dragan S., Malkowsky, Eberhard, Đolović, Ivana |
| Jazyk: | srbština |
| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Универзитет у Нишу |
| Popis: | In this dissertation, some new double sequence spaces derived as the domain of the four-dimensional generalized difference matrix are investigated. In the first chapter; literature review and some needed definitions and theorems are given for the following chapters. In the second chapter; we investigate the double sequence and series spaces with their basic properties which are used in the following chapters. In the third chapter we define the four-dimensional generalized difference matrix B(r; s; t; u) and new double sequence spaces are introduced as the domain of that matrix. In the fourth chapter; we study those new spaces and calculate their beta and gamma dual. In the fifth chapter; four-dimensional matrix transformations on the new spaces are studied in terms of four-dimensional dual summability methods for double sequences. Moreover, the characterization of some new four-dimensional matrix classes is also given. In the sixth chapter; as an application, the subclasses of compact operators on our new spaces were characterized by applying the Hausdorff measure of noncompactness of operators on B-summable double sequence spaces. In the seventh chapter; results of this thesis and some related open problems were stated. |
| Databáze: | OpenAIRE |
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