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.

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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
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article

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

Bimal Chandra Das, Binod Chandra Tripathy
Boletim da Sociedade Paranaense de Matemática
Approximation Theory and Sequence Spaces
article

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

Bimal Chandra Das, Binod Chandra Tripathy
article en

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.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
Tripura University (IN)
Openalex Percentile: Top 81%
Approximation Theory and Sequence Spaces
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