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Journals / Mathematical and Computational Applications / 2004 / Cilt: 9 - Sayı: 3

On the $K_r$ -core of complex sequences and the absolute equivalence of summability matrices

Celal ÇAKAN
CAFER AYDIN
Pages
409–416
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

Also; we have defined a new type of absolute equivalence, r - absolute equivalence, and characterized these type of matrices.

📌 3 Key Takeaways

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Objective & Hypothesis:The $K_r$-core of a complex valued sequence has been introduced in [5].
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Key Findings & Data:In this paper, we have determined a class of matrices such that $K_r - core (Ax)\subseteq K_r - core (x)$ hold for all $x\in 1\infty$.
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Conclusion & Impact:Also; we have defined a new type of absolute equivalence, r - absolute equivalence, and characterized these type of matrices.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The $K_r$-core of a complex valued sequence has been introduced in [5]. In this paper, we have determined a class of matrices such that $K_r - core (Ax)\subseteq K_r - core (x)$ hold for all $x\in 1\infty$. Also; we have defined a new type of absolute equivalence, r - absolute equivalence, and characterized these type of matrices.

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Cite This Article

ÇAKAN, C., AYDIN, C. (2004). On the $K_r$ -core of complex sequences and the absolute equivalence of summability matrices. Mathematical and Computational Applications, Cilt: 9 - Sayı: 3, 409–416. https://ajindex.com/articles/280350

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References (1)

  1. C. Aydın, İzomorfik dizi uzayları ve sonsuz matrisler, PhD. Thesis, İnönü University, 2002. 2.C. Aydın, F. Başar, On the new sequence spaces which include the spaces Co and c, Hokkaido Math. J., (to appear). 3.F.Başar, A note on the triangle limitation methods, Fırat Üniv. Fen & Müh. Bil. Dergisi, 5 (1), 113-117, 1993. 4.R. G. Cooke, Infinite matrices and sequence spaces, Macmillan, New York, 1950. 5.C. Çakan, C. Aydın, Some results related to the cores of complex sequences and the sequence space arc, Thai. J. Math., 2(1), 2004, (to appear).