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Journals / Gazi University Journal of Science / 2026 / Volume: 33 Issue: 2

Some Notes on the New Sequence Space b_p^(r,s) (D)

Abdulcabbar Sönmez(ERCIYES UNIVERSITY)0000-0003-2142-0736
Pages
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Publication Date
2020-06-01
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AI Summary & Key Takeaways

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

Finally, we classify some matrix classes related to the space b_p^(r,s) (D).

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we describe the sequence space b_p^(r,s) (D) originated by the composition of the Binomial matrix and generalized second order difference (triple band) matrix and indicate that the space b_p^(r,s) (D) is linearly isomorphic to the space l_p, where 1≤p<∞.
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Key Findings & Data:Moreover, we obtain some inclusion relations and Schauder basis of the space b_p^(r,s) (D).
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Conclusion & Impact:Finally, we classify some matrix classes related to the space b_p^(r,s) (D).
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Matrix Transformation · Matrix Domain · Schauder Basis

Abstract

In this paper, we describe the sequence space b_p^(r,s) (D) originated by the composition of the Binomial matrix and generalized second order difference (triple band) matrix and indicate that the space b_p^(r,s) (D) is linearly isomorphic to the space l_p, where 1≤p<∞. Moreover, we obtain some inclusion relations and Schauder basis of the space b_p^(r,s) (D). We also pinpoint α-, β- and γ-duals of the space b_p^(r,s) (D). Finally, we classify some matrix classes related to the space b_p^(r,s) (D).

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Cite This Article

Sönmez, A. (2020). Some Notes on the New Sequence Space b_p^(r,s) (D). Gazi University Journal of Science, Volume: 33 Issue: 2. https://doi.org/10.35378/gujs.522691

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