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Journals / Journal of New Results in Science / 2014 / Cilt: 3 - Sayı: 6

On Some New Paranormed Sequence Spaces and Their Topological Properties

Osman Duyar
Pages
32–43
Publication Date
2014-06-01
DOI
—
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AI Summary & Key Takeaways

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

Finally, we characterize the classes of matrix mappings from the new paranormedsequence spaces to the spaces µ(q) for µ ∈ {c, ,∞}

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we define new paranormed sequence spaces c0(u, v; p, G) and c(u, v; p, G) by combining a generalized weighted mean and a generalized difference operatorB = B(r, s, t).
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Key Findings & Data:Furthermore, we compute the α− and β− dualsand obtain bases for these sequence spaces.
💡
Conclusion & Impact:Finally, we characterize the classes of matrix mappings from the new paranormedsequence spaces to the spaces µ(q) for µ ∈ {c, ,∞}
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, we define new paranormed sequence spaces c0(u, v; p, G) and c(u, v; p, G) by combining a generalized weighted mean and a generalized difference operatorB = B(r, s, t). Furthermore, we compute the α− and β− dualsand obtain bases for these sequence spaces. Finally, we characterize the classes of matrix mappings from the new paranormedsequence spaces to the spaces µ(q) for µ ∈ {c, ,∞}

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Cite This Article

Duyar, O. (2014). On Some New Paranormed Sequence Spaces and Their Topological Properties. Journal of New Results in Science, Cilt: 3 - Sayı: 6, 32–43. https://ajindex.com/articles/777946

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