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

The Riesz Core of a Sequence

Celal Çakan
Abdullah Alotaıbı
Sayfa
—
Yayın Tarihi
2011-01-14
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı: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 .
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (16)

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