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Journals / Hacettepe Journal of Mathematics and Statistics / 2009 / Cilt: 38 - Sayı: 1

$sigma$-regular matrices and A $sigma$- core theorem for double sequences

Hüsamettin COŞKUN
Bilal ALTAY
Celal ÇAKAN
Pages
51–58
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

The aim of this paper is to characterize a class of four-dimensional matrices, and so to obtain necessary and sufficient conditions for a new inequality related to the P- and σ-cores.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The famous Knopp Core of a single sequence was extended to the P- core of a double sequence by R.F.
📊
Key Findings & Data:Recently, the MR-core and σ-core of real bounded double sequences have been introduced and some inequalities analogues to those for Knoop’s Core Theorem have been studied.
💡
Conclusion & Impact:The aim of this paper is to characterize a class of four-dimensional matrices, and so to obtain necessary and sufficient conditions for a new inequality related to the P- and σ-cores.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The famous Knopp Core of a single sequence was extended to the P- core of a double sequence by R.F. Patterson. Recently, the MR-core and σ-core of real bounded double sequences have been introduced and some inequalities analogues to those for Knoop’s Core Theorem have been studied. The aim of this paper is to characterize a class of four-dimensional matrices, and so to obtain necessary and sufficient conditions for a new inequality related to the P- and σ-cores.

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Cite This Article

COŞKUN, H., ALTAY, B., ÇAKAN, C. (2022). $sigma$-regular matrices and A $sigma$- core theorem for double sequences. Hacettepe Journal of Mathematics and Statistics, Cilt: 38 - Sayı: 1, 51–58. https://ajindex.com/articles/530676

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