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Journals / Gazi University Journal of Science / 2026 / Volume: 24 Issue: 1

The Riesz Core of a Sequence

Celal Çakan
Abdullah Alotaıbı
Pages
—
Publication Date
2011-01-14
DOI
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AI Summary & Key Takeaways

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

In the present paper, we introduce a new type core, Kq-core, of a complex valued sequence and also determine the required conditions for a matrix B for which Kq-core (Bx) ⊆ K-core (x), Kqcore (Bx) ⊆ stA-core (x) and Kq-core (Bx) ⊆ Kq-core (x) hold for all x ∈ ∞ A .

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The Riesz sequence space q cr including the space c has recently been defined in [14] and its some properties have been investigated.
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Key Findings & Data:The Riesz sequence space q cr including the space c has recently been defined in [14] and its some properties have been investigated.
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Conclusion & Impact:In the present paper, we introduce a new type core, Kq-core, of a complex valued sequence and also determine the required conditions for a matrix B for which Kq-core (Bx) ⊆ K-core (x), Kqcore (Bx) ⊆ stA-core (x) and Kq-core (Bx) ⊆ Kq-core (x) hold for all x ∈ ∞ A .
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Matrix transformations · core of a sequence · statistical convergence

Abstract

The Riesz sequence space q cr including the space c has recently been defined in [14] and its some properties have been investigated. In the present paper, we introduce a new type core, Kq-core, of a complex valued sequence and also determine the required conditions for a matrix B for which Kq-core (Bx) ⊆ K-core (x), Kqcore (Bx) ⊆ stA-core (x) and Kq-core (Bx) ⊆ Kq-core (x) hold for all x ∈ ∞ A .

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Cite This Article

Çakan, C., Alotaıbı, A. (2011). The Riesz Core of a Sequence. Gazi University Journal of Science, Volume: 24 Issue: 1. https://ajindex.com/articles/1269936

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