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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 42 Issue: 2

SOME INEQUALITIES RELATED TO THE PRINGSHEIM, STATISTICAL AND σ-CORES OF DOUBLE SEQUENCES

Celal Çakan
Bilal Altay
Hüsamettin Coşkun
Pages
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Publication Date
2013-02-01
DOI
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AI Summary & Key Takeaways

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

In this paper, we will study some new inequalities related to the Pringsheim, statistical and σ-cores of double sequences.To achieve this goal, we will characterize some classes offour-dimensional matrices.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The statistical convergence of double sequences was presented byMursaleen-Edely and Tripathy in two ways, [10, 16].
📊
Key Findings & Data:The statisticalcore of double sequences was introduced by C¸ akan- Altay, [1].
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Conclusion & Impact:In this paper, we will study some new inequalities related to the Pringsheim, statistical and σ-cores of double sequences.To achieve this goal, we will characterize some classes offour-dimensional matrices.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Double sequences · four dimensional matrices · core theorems and matrixtransformations.

Abstract

The statistical convergence of double sequences was presented byMursaleen-Edely and Tripathy in two ways, [10, 16]. The statisticalcore of double sequences was introduced by C¸ akan- Altay, [1]. Theσ-convergence and σ-core of double sequences were defined by C¸ akanAltay-Mursaleen, [5]. In this paper, we will study some new inequalities related to the Pringsheim, statistical and σ-cores of double sequences.To achieve this goal, we will characterize some classes offour-dimensional matrices.

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Cite This Article

Çakan, C., Altay, B., Coşkun, H. (2013). SOME INEQUALITIES RELATED TO THE PRINGSHEIM, STATISTICAL AND σ-CORES OF DOUBLE SEQUENCES. Hacettepe Journal of Mathematics and Statistics, Volume: 42 Issue: 2. https://ajindex.com/articles/1403489

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References (13)

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