New sequence spaces derived from the Catalan–Motzkin matrix and related matrix transformations
UDC 512.6 We consider the domain of a conservative matrix involving Catalan and Motzkin numbers in the sequence spaces $c$ and $c_{0}.$ Moreover, the $\alpha$-, $\beta$-, and $\gamma$-duals are given and some matrix mappings are presented on the resulting spaces.
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| Дата: | 2025 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2025
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/7644 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512690597789696 |
|---|---|
| author | Oktar, Büşra Sarıgöz Dağlı, Muhammet Cihat Oktar, Büşra Sarıgöz Dağlı, Muhammet Cihat Dağlı, Muhammet Cihat |
| author_facet | Oktar, Büşra Sarıgöz Dağlı, Muhammet Cihat Oktar, Büşra Sarıgöz Dağlı, Muhammet Cihat Dağlı, Muhammet Cihat |
| author_sort | Oktar, Büşra Sarıgöz |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-05-09T12:53:49Z |
| description | UDC 512.6
We consider the domain of a conservative matrix involving Catalan and Motzkin numbers in the sequence spaces $c$ and $c_{0}.$ Moreover, the $\alpha$-, $\beta$-, and $\gamma$-duals are given and some matrix mappings are presented on the resulting spaces. |
| doi_str_mv | 10.3842/umzh.v76i10.7644 |
| first_indexed | 2026-03-24T03:32:48Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7644 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:32:48Z |
| publishDate | 2025 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-76442025-05-09T12:53:49Z New sequence spaces derived from the Catalan–Motzkin matrix and related matrix transformations New sequence spaces derived from the Catalan–Motzkin matrix and related matrix transformations Oktar, Büşra Sarıgöz Dağlı, Muhammet Cihat Oktar, Büşra Sarıgöz Dağlı, Muhammet Cihat Dağlı, Muhammet Cihat Catalan numbers sequence spaces matrix transformations α-, β-, γ-duals UDC 512.6 We consider the domain of a conservative matrix involving Catalan and Motzkin numbers in the sequence spaces $c$ and $c_{0}.$ Moreover, the $\alpha$-, $\beta$-, and $\gamma$-duals are given and some matrix mappings are presented on the resulting spaces. УДК 512.6 Нові простори послідовностей, що породжені матрицею Каталана–Моцкіна та пов'язаними з нею матричними перетвореннями  Розглянуто область консервативної матриці, що містить числа Каталана та Моцкіна, у просторах послідовностей $c$ та $c_{0}.$ Крім того, наведено $\alpha$-, $\beta$- і $\gamma$-дуальні простори  та деякі матричні відображення на отримані простори.  Institute of Mathematics, NAS of Ukraine 2025-05-07 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7644 10.3842/umzh.v76i10.7644 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 10 (2024); 1505 - 1515 Український математичний журнал; Том 76 № 10 (2024); 1505 - 1515 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7644/10217 Copyright (c) 2024 Muhammet Cihat Dağlı |
| spellingShingle | Oktar, Büşra Sarıgöz Dağlı, Muhammet Cihat Oktar, Büşra Sarıgöz Dağlı, Muhammet Cihat Dağlı, Muhammet Cihat New sequence spaces derived from the Catalan–Motzkin matrix and related matrix transformations |
| title | New sequence spaces derived from the Catalan–Motzkin matrix and related matrix transformations |
| title_alt | New sequence spaces derived from the Catalan–Motzkin matrix and related matrix transformations |
| title_full | New sequence spaces derived from the Catalan–Motzkin matrix and related matrix transformations |
| title_fullStr | New sequence spaces derived from the Catalan–Motzkin matrix and related matrix transformations |
| title_full_unstemmed | New sequence spaces derived from the Catalan–Motzkin matrix and related matrix transformations |
| title_short | New sequence spaces derived from the Catalan–Motzkin matrix and related matrix transformations |
| title_sort | new sequence spaces derived from the catalan–motzkin matrix and related matrix transformations |
| topic_facet | Catalan numbers sequence spaces matrix transformations α- β- γ-duals |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7644 |
| work_keys_str_mv | AT oktarbusrasarıgoz newsequencespacesderivedfromthecatalanmotzkinmatrixandrelatedmatrixtransformations AT daglımuhammetcihat newsequencespacesderivedfromthecatalanmotzkinmatrixandrelatedmatrixtransformations AT oktarbusrasarıgoz newsequencespacesderivedfromthecatalanmotzkinmatrixandrelatedmatrixtransformations AT daglımuhammetcihat newsequencespacesderivedfromthecatalanmotzkinmatrixandrelatedmatrixtransformations AT daglımuhammetcihat newsequencespacesderivedfromthecatalanmotzkinmatrixandrelatedmatrixtransformations |