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Journals / Konuralp Journal of Mathematics / 2025 / Volume: 13 Issue: 2

Entire Four-Dimensional Summation Methods

Fatih Nuray(AFYON KOCATEPE ÜNİVERSİTESİ)0000-0003-0160-4001
Richard F. Patterson(University of North Florida)
Pages
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Publication Date
2025-10-31
DOI
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AI Summary & Key Takeaways

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

Furthermore, we present a theorem addressing the consistency of these entire summation methods.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we establish the necessary and sufficient conditions for a four-dimensional matrix to map entire double-indexed sequences onto themselves, referring to such transformations as entire methods.
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Key Findings & Data:In this study, we establish the necessary and sufficient conditions for a four-dimensional matrix to map entire double-indexed sequences onto themselves, referring to such transformations as entire methods.
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Conclusion & Impact:Furthermore, we present a theorem addressing the consistency of these entire summation methods.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Double sequence · P-limit · four-dimensional summability method

Abstract

In this study, we establish the necessary and sufficient conditions for a four-dimensional matrix to map entire double-indexed sequences onto themselves, referring to such transformations as entire methods. Furthermore, we present a theorem addressing the consistency of these entire summation methods.

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Cite This Article

Nuray, F., Patterson, R. F. (2025). Entire Four-Dimensional Summation Methods. Konuralp Journal of Mathematics, Volume: 13 Issue: 2. https://ajindex.com/articles/1521467

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