Matrix Transformations and Some Algebraic and Topological Properties Related to the New Catalan Double Sequence Space
Yazarlar (2)
Sezer Erdem
Prof. Dr. Serkan DEMİRİZ Tokat Gaziosmanpaşa Üniversitesi, Türkiye
| Bildiri Türü | Tebliğ/Bildiri | Bildiri Dili | İngilizce |
| Bildiri Alt Türü | Özet Metin Olarak Yayınlanan Tebliğ (Uluslararası Kongre/Sempozyum) | ||
| Bildiri Niteliği | Alanında Hakemli Uluslararası Kongre/Sempozyum | ||
| Kongre Adı | International Conference on Mathematics and Mathematics Education (ICMME-2021) | ||
| Kongre Tarihi | 16-09-2021 / | ||
| Basıldığı Ülke | Türkiye | Basıldığı Şehir | Ankara |
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| In mathematics, one of the fascinating number sequence is the integer sequence 1, 1, 2, 5, 14, 42, 132, 429,... of Catalan numbers. More recently, a new conservative matrix have been defined by means of the fascinating sequence of Catalan numbers and have been studied the matrix domains of this newly introduced matrix in the classical sequence spaces in [5]. After that, this matrix and its domains have been studied in the papers [1, 6]. Each story on single sequence and single sequence space has been experienced over double sequence and double sequence space. In this present paper, firstly we define a new double sequence space by using the 4 dimensional Catalan matrix derived by the sequences of the Catalan numbers and we prove that this newly described double sequence space is a Banach space with its norm. Then, we give a inclusion relation including this newly defined double sequence … |
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