On the A-statistical core of sequences of complex numbers | Zendy

Celal Çakan | Zendy; Hüsamettın Çoşkun | Zendy

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On the A-statistical core of sequences of complex numbers

Author(s) -

Celal Çakan,

Hüsamettın Çoşkun

Publication year - 2003

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2003.07.03

Subject(s) - core (optical fiber) , sequence (biology) , bounded function , mathematics , combinatorics , matrix (chemical analysis) , complex matrix , discrete mathematics , computer science , mathematical analysis , chemistry , telecommunications , biochemistry , chromatography

In [4], the concept of A-statistical core of a sequence of complex numbers was introduced and necessary and sufficient conditions were given for a summability matrix T to satisfy K-core(Tx) ⊆ stA-core(x) whenever x is a bounded complex sequence. In the present paper, we determine the classes of summability matrices T such that stA-core(Tx) ⊆ K-core(x) and stA-core(Tx) ⊆ stB-core(x) for all bounded complex sequences x.

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