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Journals / Mathematical Sciences and Applications E-Notes / 2020 / Cilt: 8 - Sayı: 2

4-Dimensional Euler-Totient Matrix Operator and Some Double Sequence Spaces

Sezer ERDEM
Serkan DEMİRİZ
Pages
110–122
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, the $\alpha-$, $\beta(\vartheta)-$ and $\gamma-$duals of these spaces are determined and finally, some matrix classes are characterized.

📌 3 Key Takeaways

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Objective & Hypothesis:Our main purpose in this study is to define the 4-dimensional Euler-Totient matrix operator and to investigate the matrix domains of this matrix on the classical double sequence spaces $\mathcal{M}_{u}$, $\mathcal{C}_{p}$, $\mathcal{C}_{bp}$ and $\mathcal{C}_{r}$.
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Key Findings & Data:Besides these, we examine their topological and algebraic properties and give inclusion relations about the new spaces.
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Conclusion & Impact:Also, the $\alpha-$, $\beta(\vartheta)-$ and $\gamma-$duals of these spaces are determined and finally, some matrix classes are characterized.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Euler function · Möbius function · 4-dimensional Euler-Totient matrix operator

Abstract

Our main purpose in this study is to define the 4-dimensional Euler-Totient matrix operator and to investigate the matrix domains of this matrix on the classical double sequence spaces $\mathcal{M}_{u}$, $\mathcal{C}_{p}$, $\mathcal{C}_{bp}$ and $\mathcal{C}_{r}$. Besides these, we examine their topological and algebraic properties and give inclusion relations about the new spaces. Also, the $\alpha-$, $\beta(\vartheta)-$ and $\gamma-$duals of these spaces are determined and finally, some matrix classes are characterized.

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Cite This Article

ERDEM, S., DEMİRİZ, S. (2020). 4-Dimensional Euler-Totient Matrix Operator and Some Double Sequence Spaces. Mathematical Sciences and Applications E-Notes, Cilt: 8 - Sayı: 2, 110–122. https://ajindex.com/articles/341484

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References (1)

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