Difference Sequence Spaces Derived by using Pascal Transform
| العنوان: | Difference Sequence Spaces Derived by using Pascal Transform |
|---|---|
| المؤلفون: | Harun Polat, Saadettin Aydin |
| المصدر: | Volume: 2, Issue: 1 56-62 Fundamental Journal of Mathematics and Applications |
| بيانات النشر: | Fundamental Journal of Mathematics and Applications, 2019. |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Combinatorics, Physics, Matematik, Mathematics::Probability, Pascal difference sequence spaces,Difference operator,matrix mappings,Pascal difference sequence spaces, Condensed Matter::Statistical Mechanics, Dual polyhedron, Computer Science::Social and Information Networks, Physics::Atomic Physics, General Medicine, Condensed Matter::Disordered Systems and Neural Networks, Mathematics |
| الوصف: | The essential goal of this manuscript is to investigate some novel sequence spaces of $p_{\infty }\left( \Delta \right) $, $p_{c}\left( \Delta \right) $ and $p_{0}\left( \Delta \right) $ which are comprised by all sequence spaces whose differences are in Pascal sequence spaces $p_{\infty }$, $p_{c}$ and $p_{0}$, respectively. Furthermore, we determine both $\gamma $-, $\beta $-, $\alpha $- duals of newly defined difference sequence spaces of $p_{\infty }\left( \Delta \right) $, $% p_{c}\left( \Delta \right) $ and $p_{0}\left( \Delta \right) $. We also obtain bases of the newly defined difference sequence spaces of $p_{c}\left( \Delta \right) $ and $p_{0}\left( \Delta \right) $. Finally, necessary and sufficient conditions on an infinite matrix belonging to the classes $(p_{c}\left( \Delta \right) :l_{\infty })$ and $(p_{c}\left( \Delta \right) :c)$ are characterized. |
| وصف الملف: | application/pdf |
| تدمد: | 2645-8845 |
| DOI: | 10.33401/fujma.541721 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86134602ac0cfeefc0124d0c74eb16e0 https://doi.org/10.33401/fujma.541721 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....86134602ac0cfeefc0124d0c74eb16e0 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 26458845 |
|---|---|
| DOI: | 10.33401/fujma.541721 |