Some new classes of paranorm ideal convergent double sequences of sigma-bounded variation over n-normed spaces
| Autor: | Sameera A. A. Abdullah, Rami Kamel Ahmad Rababah, Ayaz Ahmad, Kamal M. A. S. Alshlool, Vakeel A. Khan |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
sequence of $ \sigma $-bounded variation ideal i-cauchy over n-normed space Space (mathematics) Sequence space orlicz function paranormed space Ideal (ring theory) Filter (mathematics) i-bounded over n-normed space Mathematics invariant mean Sequence filter i-null over n-normed space lcsh:Mathematics Sigma General Medicine lcsh:QA1-939 sequence algebra n-normed space solid space convergence free space Bounded variation i-convergence double sequence over n-normed space |
| Zdroj: | Cogent Mathematics & Statistics, Vol 5, Iss 1 (2018) |
| ISSN: | 2574-2558 |
| Popis: | The sequence space $ BV_{\sigma } $, the space of all sequence of $ \sigma $-bounded variation, was firstly defined and studied by Mursaleen. Later on, Vakeel and Tabassum developed the same space to double sequences. Recently, using the concept of I-convergence, Vakeel and Vakeel et al. and others introduced many sequence spaces related to the space we just mentioned above which are defined by different operators. In this article, we keep the same direction up introducing some new classes of I-convergent double sequences of $ \sigma $-bounded variation over n-normed spaces. In addition, we study some basic topological and algebraic properties of these classes. Also, we prove some inclusion relations on these classes. |
| Databáze: | OpenAIRE |
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