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Article

On the Kr-Core of Complex Sequences and the Absolute Equivalence of Summability Matrices

by
Celal Çakan
1,* and
Cafer Aydin
2
1
İnönü Üniversitesi Eğitim Fakültesi, 44069-Malatya, Turkey
2
Kahramanmaraş Sütçü İmam Üniversitesi, Fen-Edeblyat Fakültesi, Kahramanmaraş, Turkey
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2004, 9(3), 409-416; https://doi.org/10.3390/mca9030409
Published: 1 December 2004
Versions Notes

Abstract

The Kr-core of a complex valued sequence has been introduced in [5]. In this paper, we have determined a class of matrices such that Kr - core (Ax) ⊆ Kr - core (x) hold for all x ∈ L∞. Also; we have defined a new type of absolute equivalence, r - absolute equivalence, and characterized these type of matrices.
Keywords: Sequence spaces; absolute equivalence; matrix transformations; core theorems Sequence spaces; absolute equivalence; matrix transformations; core theorems

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MDPI and ACS Style

Çakan, C.; Aydin, C. On the Kr-Core of Complex Sequences and the Absolute Equivalence of Summability Matrices. Math. Comput. Appl. 2004, 9, 409-416. https://doi.org/10.3390/mca9030409

AMA Style

Çakan C, Aydin C. On the Kr-Core of Complex Sequences and the Absolute Equivalence of Summability Matrices. Mathematical and Computational Applications. 2004; 9(3):409-416. https://doi.org/10.3390/mca9030409

Chicago/Turabian Style

Çakan, Celal, and Cafer Aydin. 2004. "On the Kr-Core of Complex Sequences and the Absolute Equivalence of Summability Matrices" Mathematical and Computational Applications 9, no. 3: 409-416. https://doi.org/10.3390/mca9030409

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