Statistically convergent $\delta^{3}$ difference triple sequence spaces on a seminormed space
In this paper we define and study the difference triple sequence spaces $\ell{\sf _{\infty st}^{3}(\Delta^{3},q)}$, \ ${\sfc_{st}^{3}(\Delta^{3},q)}$, \ ${\sf c_{st}^{3B}(\Delta^{3},q)}$, \${\sf c_{st}^{3R}(\Delta^{3},q)}$ and ${\sfc_{st}^{3BR}(\Delta^{3},q)}$} defined over a seminormed space $(X,q)$, seminormed by $q$. Some algebraic and topological properties of these classes of sequences are established and certain inclusion results have been obtained. Several examples are also provided to support the results and notions introduced.
Authors
- Bimal Chandra Das (ORCID: https://orcid.org/0000-0002-6845-0687)
- Binod Chandra Tripathy
Institutions
- Tripura University (IN)
Publication Details
- Journal
- Boletim da Sociedade Paranaense de Matemática
- Published
- 2025-04-15
- DOI
- https://doi.org/10.5269/bspm.63214
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- article
- Field-Weighted Citation Impact
- 0.00