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Statistically convergent $\delta^{3}$ difference triple sequence spaces on a seminormed space

Year: 2025
Type: article
Abstract: 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.
Language: English
Open Access status: diamond
OpenAlex ID: W4412914937
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Cites: 19
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Related to: 10