Year: 2024
Type: article
Abstract: In this article, it is obtained two new paranormed sequence spaces $c_0(\mathcal{M}, \mathfrak{p})$ and $c(\mathcal{M},\mathfrak{p})$ by the aid of the conservative Motzkin matrix operator $\mathcal{M}$ and is examined some topological properties of these spaces. In the continuation of the study, Schauder basis and the $\alpha$-, $\beta$- and $\gamma$-duals are determined. Finally, some new matrix mappings are characterized related new paranormed sequence spaces.
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4407134697