Some new observations on Catalan almost convergent sequence spaces and the Catalan core
- 1 June 2021
- journal article
- research article
- Published by Springer Science and Business Media LLC in Acta Scientiarum Mathematicarum
- Vol. 87 (1-2), 295-305
- https://doi.org/10.14232/actasm-020-793-6
Abstract
In this article, we introduce and study Catalan almost convergent sequence spaces by using the Catalan matrix. We obtain topological properties and the beta-dual of the resulting sequence spaces. Finally, we define the Catalan core of complex-valued sequences and give some inclusion theorems related to the Catalan core.Keywords
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