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Math. Comput. Appl. 2004, 9(3), 409-416; doi:10.3390/mca9030409

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

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.
Published: 1 December 2004
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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
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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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.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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